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Calculate the Greatest Common Factor or GCF of 10, 12, 20 and 25

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The instructions to find the GCF of 10, 12, 20 and 25 are the next:

1. Decompose all numbers into prime factors

102
55
1
122
62
33
1
202
102
55
1
255
55
1

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

Prime factors of 10=2 . 5
Prime factors of 12=22 . 3
Prime factors of 20=22 . 5
Prime factors of 25=52

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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