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Calculate the Greatest Common Factor or GCF of 72, 196 and 240

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The instructions to find the GCF of 72, 196 and 240 are the next:

1. Decompose all numbers into prime factors

722
362
182
93
33
1
1962
982
497
77
1
2402
1202
602
302
153
55
1

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

Prime factors of 72=23 . 32
Prime factors of 196=22 . 72
Prime factors of 240=24 . 3 . 5

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


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