Jump to the content

Greatest Common Factor

X

X

Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 98, 112 and 144

Sponsors

The instructions to find the GCF of 98, 112 and 144 are the next:

1. Decompose all numbers into prime factors

98	2
49	7
7	7
1

112	2
56	2
28	2
14	2
7	7
1

144	2
72	2
36	2
18	2
9	3
3	3
1

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

Prime factors of 98	=	2 . 7²
Prime factors of 112	=	2⁴ . 7
Prime factors of 144	=	2⁴ . 3²

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2¹

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 = 2¹ = 2

Also calculates the:

Least Common Multiple or LCM of 98, 112 and 144

↑ Back to top

↑ Back to top