Jump to the content

Greatest Common Factor

X

X

Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 8, 32 and 160

Sponsors

The instructions to find the GCF of 8, 32 and 160 are the next:

1. Decompose all numbers into prime factors

8	2
4	2
2	2
1

32	2
16	2
8	2
4	2
2	2
1

160	2
80	2
40	2
20	2
10	2
5	5
1

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

Prime factors of 8	=	2³
Prime factors of 32	=	2⁵
Prime factors of 160	=	2⁵ . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2³

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 = 2³ = 8

Also calculates the:

Least Common Multiple or LCM of 8, 32 and 160

↑ Back to top

↑ Back to top