65x , 143

Since 65x,143 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 65x,143:

1. Find the GCF for the numerical part 65,143

2. Find the GCF for the variable part x1

3. Multiply the values together

Find the common factors for the numerical part:

65,143

The factors for 65 are all numbers between 1 and 65, which divide 65 evenly.

Check numbers between 1 and 65

Find the factor pairs of 65 where x⋅y=65.

xy165513

List the factors for 65.

1,5,13,65

1,5,13,65

The factors for 143 are all numbers between 1 and 143, which divide 143 evenly.

Check numbers between 1 and 143

Find the factor pairs of 143 where x⋅y=143.

xy11431113

List the factors for 143.

1,11,13,143

1,11,13,143

List all the factors for 65,143 to find the common factors.

65: 1,5,13,65

143: 1,11,13,143

The common factors for 65,143 are 1,13.

1,13

The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors 1,13 is 13.

13

Find the GCF 65x , 143