What is the Greatest Common Factor of 53964 and 53982?

Greatest common factor (GCF) of 53964 and 53982 is 18.

GCF(53964,53982) = 18

We will now calculate the prime factors of 53964 and 53982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53964 and 53982.

How to find the GCF of 53964 and 53982?

We will first find the prime factorization of 53964 and 53982. After we will calculate the factors of 53964 and 53982 and find the biggest common factor number .

Step-1: Prime Factorization of 53964

Prime factors of 53964 are 2, 3, 1499. Prime factorization of 53964 in exponential form is:

53964 = 2² × 3² × 1499¹

Step-2: Prime Factorization of 53982

Prime factors of 53982 are 2, 3, 2999. Prime factorization of 53982 in exponential form is:

53982 = 2¹ × 3² × 2999¹

Step-3: Factors of 53964

List of positive integer factors of 53964 that divides 53964 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1499, 2998, 4497, 5996, 8994, 13491, 17988, 26982

Step-4: Factors of 53982

List of positive integer factors of 53982 that divides 53964 without a remainder.

1, 2, 3, 6, 9, 18, 2999, 5998, 8997, 17994, 26991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53964 and 53982. The biggest common factor number is the GCF number.
So the greatest common factor 53964 and 53982 is 18.

Also check out the Least Common Multiple of 53964 and 53982