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Calculate the Greatest Common Factor or GCF of 20, 30, 35 and 101

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The instructions to find the GCF of 20, 30, 35 and 101 are the next:

1. Decompose all numbers into prime factors

202
102
55
1
302
153
55
1
355
77
1
101101
1

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

Prime factors of 20=22 . 5
Prime factors of 30=2 . 3 . 5
Prime factors of 35=5 . 7
Prime factors of 101=101

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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