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# What is the greatest common factor of 63 56 and 72?

Wiki User

2014-05-31 19:49:52

Best Answer

The greatest common factor (GCF) is: 1
gcf of 56, 63 and 72 is 1.

56 = 23 x 30 x 71

63 = 20 x 32 x 71

72 = 23 x 32 x 70

To find gcf use the lowest power of each prime across all the numbers

⇒ gcf = 20 x 30 x 70 = 1 x 1 x 1 = 1

(any number to the power 0 is 1)
GCF=1

The GCF is the greatest common factor. In order to find the GCF you have to first list all the factor of each number:

Factors of 56: 2,2,2,7

Factors of 63: 3,3,7

Factors of 72: 2,2,2,3,3

The only factor which is common to all three number is one(1), so the GCF is 1. The number 1 is a factor of any natural number.

Perhaps the questioner meant to ask for the Least Common Multiple, which is 504. Greatest Common Factor is typically used to help simplify fractions (therefore normally only 2 numbers are involved). LCM is used to find a least common denominator for adding fractions, and there could be multiple numbers involved.
The GCF is 1.
The GCF is 1.
The GCF is 1.

Wiki User

2016-01-10 04:11:11
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Wiki User

2011-02-11 18:33:20

The Greatest Common Factor (GCF) is: 1

This answer is:

Wiki User

2014-05-31 19:49:52

The GCF is 1.

This answer is:

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