Jump to the content

Greatest Common Factor

X

X

Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 156 and 256

Sponsors

The instructions to find the GCF of 156 and 256 are the next:

1. Decompose all numbers into prime factors

156	2
78	2
39	3
13	13
1

256	2
128	2
64	2
32	2
16	2
8	2
4	2
2	2
1

2. Write all numbers as the product of its prime factors

Prime factors of 156	=	2² . 3 . 13
Prime factors of 256	=	2⁸

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2²

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 2² = 4

Also calculates the:

Least Common Multiple or LCM of 156 and 256

↑ Back to top

↑ Back to top