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Find the greatest common factor (GCF) of 56 and 91

User Guvante
by
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2 Answers

3 votes

To find the greatest common factor (GCF) of 56 and 91, you can use the prime factorization method or the Euclidean algorithm. Here, I'll use the prime factorization method.

Step 1: Find the prime factors of 56 and 91.

Prime factors of 56:

56 = 2 * 28

= 2 * 2 * 14

= 2 * 2 * 2 * 7

Prime factors of 91:

91 = 7 * 13

Step 2: Identify the common prime factors and their lowest exponents in both numbers.

The common prime factor is 7.

Step 3: Multiply the common prime factors.

GCF(56, 91) = 7

So, the greatest common factor of 56 and 91 is 7.

User Joseph Katzman
by
7.3k points
3 votes

Answer:

7

Explanation:

7 is the greatest number that evenly divides into both 56 and 91.

User Ailie
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