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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 96, 144 and 244

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The instructions to find the GCF of 96, 144 and 244 are the next:

1. Decompose all numbers into prime factors

96	2
48	2
24	2
12	2
6	2
3	3
1

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

244	2
122	2
61	61
1

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

Prime factors of 96	=	2⁵ . 3
Prime factors of 144	=	2⁴ . 3²
Prime factors of 244	=	2² . 61

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 96, 144 and 244

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