x12 , y8 , x6 , y8 , xy3

Since x12,y8,x6,y8,xy3 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 x12,y8,x6,y8,xy3:

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

2. Find the GCF for the variable part x12,y8,x6,y8,x1,y3

3. Multiply the values together

Find the common factors for the numerical part:

1,1,1,1,1

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

Check numbers between 1 and 1

Find the factor pairs of 1 where x⋅y=1.

xy11

List the factors for 1.

1

1

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

Check numbers between 1 and 1

Find the factor pairs of 1 where x⋅y=1.

xy11

List the factors for 1.

1

1

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

Check numbers between 1 and 1

Find the factor pairs of 1 where x⋅y=1.

xy11

List the factors for 1.

1

1

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

Check numbers between 1 and 1

Find the factor pairs of 1 where x⋅y=1.

xy11

List the factors for 1.

1

1

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

Check numbers between 1 and 1

Find the factor pairs of 1 where x⋅y=1.

xy11

List the factors for 1.

1

1

List all the factors for 1,1,1,1,1 to find the common factors.

1: 1

1: 1

1: 1

1: 1

1: 1

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

1

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

1

Find the GCF x^12 , y^8 , x^6 , y^8 , xy^3