Jump to the content

Greatest Common Factor

X

X

Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 77, 88 and 132

Sponsors

The instructions to find the GCF of 77, 88 and 132 are the next:

1. Decompose all numbers into prime factors

77	7
11	11
1

88	2
44	2
22	2
11	11
1

132	2
66	2
33	3
11	11
1

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

Prime factors of 77	=	7 . 11
Prime factors of 88	=	2³ . 11
Prime factors of 132	=	2² . 3 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 11

Common prime factors with the lowest exponent: 11¹

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 = 11¹ = 11

Also calculates the:

Least Common Multiple or LCM of 77, 88 and 132

↑ Back to top

↑ Back to top