What is the Greatest Common Factor of 52968 and 52982?

Greatest common factor (GCF) of 52968 and 52982 is 2.

GCF(52968,52982) = 2

We will now calculate the prime factors of 52968 and 52982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52968 and 52982.

How to find the GCF of 52968 and 52982?

We will first find the prime factorization of 52968 and 52982. After we will calculate the factors of 52968 and 52982 and find the biggest common factor number .

Step-1: Prime Factorization of 52968

Prime factors of 52968 are 2, 3, 2207. Prime factorization of 52968 in exponential form is:

52968 = 2³ × 3¹ × 2207¹

Step-2: Prime Factorization of 52982

Prime factors of 52982 are 2, 59, 449. Prime factorization of 52982 in exponential form is:

52982 = 2¹ × 59¹ × 449¹

Step-3: Factors of 52968

List of positive integer factors of 52968 that divides 52968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2207, 4414, 6621, 8828, 13242, 17656, 26484

Step-4: Factors of 52982

List of positive integer factors of 52982 that divides 52968 without a remainder.

1, 2, 59, 118, 449, 898, 26491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52968 and 52982. The biggest common factor number is the GCF number.
So the greatest common factor 52968 and 52982 is 2.

Also check out the Least Common Multiple of 52968 and 52982