40x , 35

Since 40x,35 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for 40x,35:

1. Find the GCF for the numerical part 40,35

2. Find the GCF for the variable part x1

3. Multiply the values together

Find the common factors for the numerical part:

40,35

The factors for 40 are all numbers between 1 and 40, which divide 40 evenly.

Check numbers between 1 and 40

Find the factor pairs of 40 where x⋅y=40.

xy14022041058

List the factors for 40.

1,2,4,5,8,10,20,40

1,2,4,5,8,10,20,40

The factors for 35 are all numbers between 1 and 35, which divide 35 evenly.

Check numbers between 1 and 35

Find the factor pairs of 35 where x⋅y=35.

xy13557

List the factors for 35.

1,5,7,35

1,5,7,35

List all the factors for 40,35 to find the common factors.

40: 1,2,4,5,8,10,20,40

35: 1,5,7,35

The common factors for 40,35 are 1,5.

1,5

The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1,5 is 5.

5

Find the GCF 40x , 35