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Calculate the Greatest Common Factor or GCF of 20, 40, 45 and 80

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The instructions to find the GCF of 20, 40, 45 and 80 are the next:

1. Decompose all numbers into prime factors

202
102
55
1
402
202
102
55
1
453
153
55
1
802
402
202
102
55
1

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

Prime factors of 20=22 . 5
Prime factors of 40=23 . 5
Prime factors of 45=32 . 5
Prime factors of 80=24 . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: 5

Common prime factors with the lowest exponent: 51

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 = 51 = 5


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