15 , 3×4

Since 15,3×4 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 15,3×4:

1. Find the GCF for the numerical part 15,3

2. Find the GCF for the variable part x4

3. Multiply the values together

Find the common factors for the numerical part:

15,3

The factors for 15 are all numbers between 1 and 15, which divide 15 evenly.

Check numbers between 1 and 15

Find the factor pairs of 15 where x⋅y=15.

xy11535

List the factors for 15.

1,3,5,15

1,3,5,15

The factors for 3 are all numbers between 1 and 3, which divide 3 evenly.

Check numbers between 1 and 3

Find the factor pairs of 3 where x⋅y=3.

xy13

List the factors for 3.

1,3

1,3

List all the factors for 15,3 to find the common factors.

15: 1,3,5,15

3: 1,3

The common factors for 15,3 are 1,3.

1,3

The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1,3 is 3.

3

Find the GCF 15 , 3x^4