Find the greatest common factor of 56, 28, and 14.

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Question:

Find the greatest common factor of 56, 28, and 14.

Answer:

The greatest common factor of 56, 28, and 14 is 14.

Given that,

  • There are three numbers i.e. 56,28 and 14.
  • We need to find out the greatest common factor.

Based on the above information, here we find out the factors of each number i.e.

For 14 = 2 × 7

For 28 = 2 × 2 × 7

For 56 = 2 × 2 × 2 × 2 × 7

Now based on the above factors, the common factors are the product of 2 and 7 i.e. 14.

Therefore we can conclude that the greatest common factor of 56, 28, and 14 is 14.

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