What is the Greatest Common Factor of 53974 and 53982?

Greatest common factor (GCF) of 53974 and 53982 is 2.

GCF(53974,53982) = 2

We will now calculate the prime factors of 53974 and 53982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53974 and 53982.

How to find the GCF of 53974 and 53982?

We will first find the prime factorization of 53974 and 53982. After we will calculate the factors of 53974 and 53982 and find the biggest common factor number .

Step-1: Prime Factorization of 53974

Prime factors of 53974 are 2, 26987. Prime factorization of 53974 in exponential form is:

53974 = 2¹ × 26987¹

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 53974

List of positive integer factors of 53974 that divides 53974 without a remainder.

1, 2, 26987

Step-4: Factors of 53982

List of positive integer factors of 53982 that divides 53974 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 53974 and 53982. The biggest common factor number is the GCF number.
So the greatest common factor 53974 and 53982 is 2.

Also check out the Least Common Multiple of 53974 and 53982