What is the Greatest Common Factor of 56925 and 56938?

Greatest common factor (GCF) of 56925 and 56938 is 1.

GCF(56925,56938) = 1

We will now calculate the prime factors of 56925 and 56938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56925 and 56938.

How to find the GCF of 56925 and 56938?

We will first find the prime factorization of 56925 and 56938. After we will calculate the factors of 56925 and 56938 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 56938

Prime factors of 56938 are 2, 7, 83. Prime factorization of 56938 in exponential form is:

56938 = 2¹ × 7³ × 83¹

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 56938

List of positive integer factors of 56938 that divides 56925 without a remainder.

1, 2, 7, 14, 49, 83, 98, 166, 343, 581, 686, 1162, 4067, 8134, 28469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56925 and 56938. The biggest common factor number is the GCF number.
So the greatest common factor 56925 and 56938 is 1.

Also check out the Least Common Multiple of 56925 and 56938