What is the Greatest Common Factor of 56889 and 56907?

Greatest common factor (GCF) of 56889 and 56907 is 9.

GCF(56889,56907) = 9

We will now calculate the prime factors of 56889 and 56907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56889 and 56907.

How to find the GCF of 56889 and 56907?

We will first find the prime factorization of 56889 and 56907. After we will calculate the factors of 56889 and 56907 and find the biggest common factor number .

Step-1: Prime Factorization of 56889

Prime factors of 56889 are 3, 7, 43. Prime factorization of 56889 in exponential form is:

56889 = 3³ × 7² × 43¹

Step-2: Prime Factorization of 56907

Prime factors of 56907 are 3, 6323. Prime factorization of 56907 in exponential form is:

56907 = 3² × 6323¹

Step-3: Factors of 56889

List of positive integer factors of 56889 that divides 56889 without a remainder.

1, 3, 7, 9, 21, 27, 43, 49, 63, 129, 147, 189, 301, 387, 441, 903, 1161, 1323, 2107, 2709, 6321, 8127, 18963

Step-4: Factors of 56907

List of positive integer factors of 56907 that divides 56889 without a remainder.

1, 3, 9, 6323, 18969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56889 and 56907. The biggest common factor number is the GCF number.
So the greatest common factor 56889 and 56907 is 9.

Also check out the Least Common Multiple of 56889 and 56907