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Calculate the Greatest Common Factor or GCF of 49, 400 and 429

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The instructions to find the GCF of 49, 400 and 429 are the next:

1. Decompose all numbers into prime factors

497
77
1
4002
2002
1002
502
255
55
1
4293
14311
1313
1

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

Prime factors of 49=72
Prime factors of 400=24 . 52
Prime factors of 429=3 . 11 . 13

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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