What is the Greatest Common Factor of 56679 and 56691?

Greatest common factor (GCF) of 56679 and 56691 is 3.

GCF(56679,56691) = 3

We will now calculate the prime factors of 56679 and 56691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56679 and 56691.

How to find the GCF of 56679 and 56691?

We will first find the prime factorization of 56679 and 56691. After we will calculate the factors of 56679 and 56691 and find the biggest common factor number .

Step-1: Prime Factorization of 56679

Prime factors of 56679 are 3, 7, 2699. Prime factorization of 56679 in exponential form is:

56679 = 3¹ × 7¹ × 2699¹

Step-2: Prime Factorization of 56691

Prime factors of 56691 are 3, 6299. Prime factorization of 56691 in exponential form is:

56691 = 3² × 6299¹

Step-3: Factors of 56679

List of positive integer factors of 56679 that divides 56679 without a remainder.

1, 3, 7, 21, 2699, 8097, 18893

Step-4: Factors of 56691

List of positive integer factors of 56691 that divides 56679 without a remainder.

1, 3, 9, 6299, 18897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56679 and 56691. The biggest common factor number is the GCF number.
So the greatest common factor 56679 and 56691 is 3.

Also check out the Least Common Multiple of 56679 and 56691