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Greatest Common Factor

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Greatest Common Factor

Calculate the Greatest Common Factor or GCF of 52 and 1536

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The instructions to find the GCF of 52 and 1536 are the next:

1. Decompose all numbers into prime factors

52	2
26	2
13	13
1

1536	2
768	2
384	2
192	2
96	2
48	2
24	2
12	2
6	2
3	3
1

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

Prime factors of 52	=	2² . 13
Prime factors of 1536	=	2⁹ . 3

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 52 and 1536

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