What is the Greatest Common Factor of 52982 and 52988?

Greatest common factor (GCF) of 52982 and 52988 is 2.

GCF(52982,52988) = 2

We will now calculate the prime factors of 52982 and 52988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52982 and 52988.

How to find the GCF of 52982 and 52988?

We will first find the prime factorization of 52982 and 52988. After we will calculate the factors of 52982 and 52988 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52988

Prime factors of 52988 are 2, 13, 1019. Prime factorization of 52988 in exponential form is:

52988 = 2² × 13¹ × 1019¹

Step-3: Factors of 52982

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

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

Step-4: Factors of 52988

List of positive integer factors of 52988 that divides 52982 without a remainder.

1, 2, 4, 13, 26, 52, 1019, 2038, 4076, 13247, 26494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52982 and 52988. The biggest common factor number is the GCF number.
So the greatest common factor 52982 and 52988 is 2.

Also check out the Least Common Multiple of 52982 and 52988