What is the Greatest Common Factor of 52980 and 52996?

Greatest common factor (GCF) of 52980 and 52996 is 4.

GCF(52980,52996) = 4

We will now calculate the prime factors of 52980 and 52996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52980 and 52996.

How to find the GCF of 52980 and 52996?

We will first find the prime factorization of 52980 and 52996. After we will calculate the factors of 52980 and 52996 and find the biggest common factor number .

Step-1: Prime Factorization of 52980

Prime factors of 52980 are 2, 3, 5, 883. Prime factorization of 52980 in exponential form is:

52980 = 2² × 3¹ × 5¹ × 883¹

Step-2: Prime Factorization of 52996

Prime factors of 52996 are 2, 13249. Prime factorization of 52996 in exponential form is:

52996 = 2² × 13249¹

Step-3: Factors of 52980

List of positive integer factors of 52980 that divides 52980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 883, 1766, 2649, 3532, 4415, 5298, 8830, 10596, 13245, 17660, 26490

Step-4: Factors of 52996

List of positive integer factors of 52996 that divides 52980 without a remainder.

1, 2, 4, 13249, 26498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52980 and 52996. The biggest common factor number is the GCF number.
So the greatest common factor 52980 and 52996 is 4.

Also check out the Least Common Multiple of 52980 and 52996