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Calculate the Greatest Common Factor or GCF of 50, 126 and 196

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The instructions to find the GCF of 50, 126 and 196 are the next:

1. Decompose all numbers into prime factors

502
255
55
1
1262
633
213
77
1
1962
982
497
77
1

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

Prime factors of 50=2 . 52
Prime factors of 126=2 . 32 . 7
Prime factors of 196=22 . 72

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2

Common prime factors with the lowest exponent: 21

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 = 21 = 2


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