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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 496 and 528

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The instructions to find the GCF of 496 and 528 are the next:

1. Decompose all numbers into prime factors

496	2
248	2
124	2
62	2
31	31
1

528	2
264	2
132	2
66	2
33	3
11	11
1

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

Prime factors of 496	=	2⁴ . 31
Prime factors of 528	=	2⁴ . 3 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2⁴

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 = 2⁴ = 16

Also calculates the:

Least Common Multiple or LCM of 496 and 528

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