What is the Greatest Common Factor of 56914 and 56927?

Greatest common factor (GCF) of 56914 and 56927 is 13.

GCF(56914,56927) = 13

We will now calculate the prime factors of 56914 and 56927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56914 and 56927.

How to find the GCF of 56914 and 56927?

We will first find the prime factorization of 56914 and 56927. After we will calculate the factors of 56914 and 56927 and find the biggest common factor number .

Step-1: Prime Factorization of 56914

Prime factors of 56914 are 2, 11, 13, 199. Prime factorization of 56914 in exponential form is:

56914 = 2¹ × 11¹ × 13¹ × 199¹

Step-2: Prime Factorization of 56927

Prime factors of 56927 are 13, 29, 151. Prime factorization of 56927 in exponential form is:

56927 = 13¹ × 29¹ × 151¹

Step-3: Factors of 56914

List of positive integer factors of 56914 that divides 56914 without a remainder.

1, 2, 11, 13, 22, 26, 143, 199, 286, 398, 2189, 2587, 4378, 5174, 28457

Step-4: Factors of 56927

List of positive integer factors of 56927 that divides 56914 without a remainder.

1, 13, 29, 151, 377, 1963, 4379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56914 and 56927. The biggest common factor number is the GCF number.
So the greatest common factor 56914 and 56927 is 13.

Also check out the Least Common Multiple of 56914 and 56927