diff --git a/expr/functions/removeEmptySeries/function.go b/expr/functions/removeEmptySeries/function.go
index 1d6cc8338..1acfe5566 100644
--- a/expr/functions/removeEmptySeries/function.go
+++ b/expr/functions/removeEmptySeries/function.go
@@ -35,19 +35,30 @@ func (f *removeEmptySeries) Do(ctx context.Context, e parser.Expr, from, until i
 		return nil, err
 	}
 
-	// TODO: implement xFilesFactor
+	factor, err := e.GetFloatArgDefault(1, 0)
+	if err != nil {
+		return nil, err
+	}
 
 	var results []*types.MetricData
 
-	for _, a := range args {
-		for _, v := range a.Values {
+	for _, arg := range args {
+		nonNull := 0.0
+		for _, v := range arg.Values {
 			if !math.IsNaN(v) {
-				if e.Target() == "removeEmptySeries" || (v != 0) {
-					results = append(results, a)
-					break
+				switch e.Target() {
+				case "removeEmptySeries":
+					nonNull++
+				case "removeZeroSeries":
+					if v != 0 {
+						nonNull++
+					}
 				}
 			}
 		}
+		if nonNull/float64(len(arg.Values)) >= factor {
+			results = append(results, arg)
+		}
 	}
 	return results, nil
 }
diff --git a/expr/functions/removeEmptySeries/function_test.go b/expr/functions/removeEmptySeries/function_test.go
index 3be76f387..e9bdfb5b8 100644
--- a/expr/functions/removeEmptySeries/function_test.go
+++ b/expr/functions/removeEmptySeries/function_test.go
@@ -37,11 +37,12 @@ func TestFunction(t *testing.T) {
 			},
 			[]*types.MetricData{
 				types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 30, math.NaN()}, 1, now32),
+				types.MakeMetricData("metric2", []float64{math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN()}, 1, now32),
 				types.MakeMetricData("metric3", []float64{0, 0, 0, 0, 0, 0, 0, 0}, 1, now32),
 			},
 		},
 		{
-			"removeZeroSeries(metric*)",
+			"removeEmptySeries(metric*,0.00001)",
 			map[parser.MetricRequest][]*types.MetricData{
 				{"metric*", 0, 1}: {
 					types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 30, math.NaN()}, 1, now32),
@@ -51,6 +52,49 @@ func TestFunction(t *testing.T) {
 			},
 			[]*types.MetricData{
 				types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 30, math.NaN()}, 1, now32),
+				types.MakeMetricData("metric3", []float64{0, 0, 0, 0, 0, 0, 0, 0}, 1, now32),
+			},
+		},
+		{
+			"removeZeroSeries(metric*,0.000001)",
+			map[parser.MetricRequest][]*types.MetricData{
+				{"metric*", 0, 1}: {
+					types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 30, math.NaN()}, 1, now32),
+					types.MakeMetricData("metric2", []float64{math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN()}, 1, now32),
+					types.MakeMetricData("metric3", []float64{0, 0, 0, 0, 0, 0, 0, 0}, 1, now32),
+				},
+			},
+			[]*types.MetricData{
+				types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 30, math.NaN()}, 1, now32),
+			},
+		},
+		{
+			"removeEmptySeries(metric*,0.8)",
+			map[parser.MetricRequest][]*types.MetricData{
+				{"metric*", 0, 1}: {
+					types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 23, 12, 8, math.NaN()}, 1, now32),
+					types.MakeMetricData("metric2", []float64{1, 2, -1, 7, 8, 20, 23, 12, math.NaN(), math.NaN()}, 1, now32),
+					types.MakeMetricData("metric3", []float64{1, 2, -1, 7, 8, 20, 23, math.NaN(), math.NaN(), math.NaN()}, 1, now32),
+					types.MakeMetricData("metric4", []float64{math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN(), math.NaN()}, 1, now32),
+					types.MakeMetricData("metric5", []float64{0, 0, 0, 0, 0, 0, 0, 0}, 1, now32),
+				},
+			},
+			[]*types.MetricData{
+				types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 23, 12, 8, math.NaN()}, 1, now32),
+				types.MakeMetricData("metric2", []float64{1, 2, -1, 7, 8, 20, 23, 12, math.NaN(), math.NaN()}, 1, now32),
+				types.MakeMetricData("metric5", []float64{0, 0, 0, 0, 0, 0, 0, 0}, 1, now32),
+			},
+		},
+		{
+			"removeEmptySeries(metric*,1)",
+			map[parser.MetricRequest][]*types.MetricData{
+				{"metric*", 0, 1}: {
+					types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 23, 12, 8, -2.3}, 1, now32),
+					types.MakeMetricData("metric2", []float64{1, 2, -1, 7, 8, 20, 23, 12, 8, math.NaN()}, 1, now32),
+				},
+			},
+			[]*types.MetricData{
+				types.MakeMetricData("metric1", []float64{1, 2, -1, 7, 8, 20, 23, 12, 8, -2.3}, 1, now32),
 			},
 		},
 	}