What is the Greatest Common Factor of 56937 and 56949?

Greatest common factor (GCF) of 56937 and 56949 is 3.

GCF(56937,56949) = 3

We will now calculate the prime factors of 56937 and 56949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56937 and 56949.

How to find the GCF of 56937 and 56949?

We will first find the prime factorization of 56937 and 56949. After we will calculate the factors of 56937 and 56949 and find the biggest common factor number .

Step-1: Prime Factorization of 56937

Prime factors of 56937 are 3, 18979. Prime factorization of 56937 in exponential form is:

56937 = 3¹ × 18979¹

Step-2: Prime Factorization of 56949

Prime factors of 56949 are 3, 41, 463. Prime factorization of 56949 in exponential form is:

56949 = 3¹ × 41¹ × 463¹

Step-3: Factors of 56937

List of positive integer factors of 56937 that divides 56937 without a remainder.

1, 3, 18979

Step-4: Factors of 56949

List of positive integer factors of 56949 that divides 56937 without a remainder.

1, 3, 41, 123, 463, 1389, 18983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56937 and 56949. The biggest common factor number is the GCF number.
So the greatest common factor 56937 and 56949 is 3.

Also check out the Least Common Multiple of 56937 and 56949