What is the Greatest Common Factor of 59922 and 59931?

Greatest common factor (GCF) of 59922 and 59931 is 9.

GCF(59922,59931) = 9

We will now calculate the prime factors of 59922 and 59931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59922 and 59931.

How to find the GCF of 59922 and 59931?

We will first find the prime factorization of 59922 and 59931. After we will calculate the factors of 59922 and 59931 and find the biggest common factor number .

Step-1: Prime Factorization of 59922

Prime factors of 59922 are 2, 3, 3329. Prime factorization of 59922 in exponential form is:

59922 = 2¹ × 3² × 3329¹

Step-2: Prime Factorization of 59931

Prime factors of 59931 are 3, 6659. Prime factorization of 59931 in exponential form is:

59931 = 3² × 6659¹

Step-3: Factors of 59922

List of positive integer factors of 59922 that divides 59922 without a remainder.

1, 2, 3, 6, 9, 18, 3329, 6658, 9987, 19974, 29961

Step-4: Factors of 59931

List of positive integer factors of 59931 that divides 59922 without a remainder.

1, 3, 9, 6659, 19977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59922 and 59931. The biggest common factor number is the GCF number.
So the greatest common factor 59922 and 59931 is 9.

Also check out the Least Common Multiple of 59922 and 59931