What is the Greatest Common Factor of 56661 and 56678?

Greatest common factor (GCF) of 56661 and 56678 is 17.

GCF(56661,56678) = 17

We will now calculate the prime factors of 56661 and 56678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56661 and 56678.

How to find the GCF of 56661 and 56678?

We will first find the prime factorization of 56661 and 56678. After we will calculate the factors of 56661 and 56678 and find the biggest common factor number .

Step-1: Prime Factorization of 56661

Prime factors of 56661 are 3, 11, 17, 101. Prime factorization of 56661 in exponential form is:

56661 = 3¹ × 11¹ × 17¹ × 101¹

Step-2: 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-3: Factors of 56661

List of positive integer factors of 56661 that divides 56661 without a remainder.

1, 3, 11, 17, 33, 51, 101, 187, 303, 561, 1111, 1717, 3333, 5151, 18887

Step-4: Factors of 56678

List of positive integer factors of 56678 that divides 56661 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56661 and 56678. The biggest common factor number is the GCF number.
So the greatest common factor 56661 and 56678 is 17.

Also check out the Least Common Multiple of 56661 and 56678