Finding the Greatest Common Factor

Divide the numbers by the smallest prime number.

Add all the numbers together.

Use a factor tree to break down numbers.

Identify the least common multiple.

7 and 10

3 and 23

5 and 14

2 and 35

6 and 6

5 and 7

3 and 11

2 and 17

3 and 5

2 and 7

4 and 3

6 and 2

Divide the largest prime factor by the smallest.

Multiply all the prime factors together.

Create a chart and look for common columns.

List them in ascending order.

2

7

14

35

Ignore the variable.

Add the exponents of the variable.

Include the variable in the GCF.

Subtract the exponents of the variable.

70xy

14x^2y^2

14xy

7x^2y^2

Identify common variables.

Use the smallest exponent for common variables.

Multiply all coefficients together.

Find the GCF of the coefficients.