What is the Greatest Common Factor of 53982 and 53997?

Greatest common factor (GCF) of 53982 and 53997 is 3.

GCF(53982,53997) = 3

We will now calculate the prime factors of 53982 and 53997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53982 and 53997.

How to find the GCF of 53982 and 53997?

We will first find the prime factorization of 53982 and 53997. After we will calculate the factors of 53982 and 53997 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53997

Prime factors of 53997 are 3, 41, 439. Prime factorization of 53997 in exponential form is:

53997 = 3¹ × 41¹ × 439¹

Step-3: Factors of 53982

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

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

Step-4: Factors of 53997

List of positive integer factors of 53997 that divides 53982 without a remainder.

1, 3, 41, 123, 439, 1317, 17999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53982 and 53997. The biggest common factor number is the GCF number.
So the greatest common factor 53982 and 53997 is 3.

Also check out the Least Common Multiple of 53982 and 53997