Jump to the content

Greatest Common Factor

X

X

Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 80, 112 and 140

Sponsors

The instructions to find the GCF of 80, 112 and 140 are the next:

1. Decompose all numbers into prime factors

80	2
40	2
20	2
10	2
5	5
1

112	2
56	2
28	2
14	2
7	7
1

140	2
70	2
35	5
7	7
1

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

Prime factors of 80	=	2⁴ . 5
Prime factors of 112	=	2⁴ . 7
Prime factors of 140	=	2² . 5 . 7

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 80, 112 and 140

↑ Back to top

↑ Back to top