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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 1184 and 2528

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The instructions to find the GCF of 1184 and 2528 are the next:

1. Decompose all numbers into prime factors

1184	2
592	2
296	2
148	2
74	2
37	37
1

2528	2
1264	2
632	2
316	2
158	2
79	79
1

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

Prime factors of 1184	=	2⁵ . 37
Prime factors of 2528	=	2⁵ . 79

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 2⁵

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 = 2⁵ = 32

Also calculates the:

Least Common Multiple or LCM of 1184 and 2528

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