What is the Greatest Common Factor of 56678 and 56695?

Greatest common factor (GCF) of 56678 and 56695 is 17.

GCF(56678,56695) = 17

We will now calculate the prime factors of 56678 and 56695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56678 and 56695.

How to find the GCF of 56678 and 56695?

We will first find the prime factorization of 56678 and 56695. After we will calculate the factors of 56678 and 56695 and find the biggest common factor number .

Step-1: Prime Factorization of 56678

Prime factors of 56678 are 2, 17, 1667. Prime factorization of 56678 in exponential form is:

56678 = 2¹ × 17¹ × 1667¹

Step-2: Prime Factorization of 56695

Prime factors of 56695 are 5, 17, 23, 29. Prime factorization of 56695 in exponential form is:

56695 = 5¹ × 17¹ × 23¹ × 29¹

Step-3: Factors of 56678

List of positive integer factors of 56678 that divides 56678 without a remainder.

1, 2, 17, 34, 1667, 3334, 28339

Step-4: Factors of 56695

List of positive integer factors of 56695 that divides 56678 without a remainder.

1, 5, 17, 23, 29, 85, 115, 145, 391, 493, 667, 1955, 2465, 3335, 11339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56678 and 56695. The biggest common factor number is the GCF number.
So the greatest common factor 56678 and 56695 is 17.

Also check out the Least Common Multiple of 56678 and 56695