What is the Greatest Common Factor of 56925 and 56943?

Greatest common factor (GCF) of 56925 and 56943 is 9.

GCF(56925,56943) = 9

We will now calculate the prime factors of 56925 and 56943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56925 and 56943.

How to find the GCF of 56925 and 56943?

We will first find the prime factorization of 56925 and 56943. After we will calculate the factors of 56925 and 56943 and find the biggest common factor number .

Step-1: Prime Factorization of 56925

Prime factors of 56925 are 3, 5, 11, 23. Prime factorization of 56925 in exponential form is:

56925 = 3² × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 56943

Prime factors of 56943 are 3, 19, 37. Prime factorization of 56943 in exponential form is:

56943 = 3⁴ × 19¹ × 37¹

Step-3: Factors of 56925

List of positive integer factors of 56925 that divides 56925 without a remainder.

1, 3, 5, 9, 11, 15, 23, 25, 33, 45, 55, 69, 75, 99, 115, 165, 207, 225, 253, 275, 345, 495, 575, 759, 825, 1035, 1265, 1725, 2277, 2475, 3795, 5175, 6325, 11385, 18975

Step-4: Factors of 56943

List of positive integer factors of 56943 that divides 56925 without a remainder.

1, 3, 9, 19, 27, 37, 57, 81, 111, 171, 333, 513, 703, 999, 1539, 2109, 2997, 6327, 18981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56925 and 56943. The biggest common factor number is the GCF number.
So the greatest common factor 56925 and 56943 is 9.

Also check out the Least Common Multiple of 56925 and 56943