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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 132 and 352

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The instructions to find the GCF of 132 and 352 are the next:

1. Decompose all numbers into prime factors

132	2
66	2
33	3
11	11
1

352	2
176	2
88	2
44	2
22	2
11	11
1

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

Prime factors of 132	=	2² . 3 . 11
Prime factors of 352	=	2⁵ . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 11

Common prime factors with the lowest exponent: 2², 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 = 2². 11¹ = 44

Also calculates the:

Least Common Multiple or LCM of 132 and 352

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