What is the Greatest Common Factor of 52972 and 52980?

Greatest common factor (GCF) of 52972 and 52980 is 4.

GCF(52972,52980) = 4

We will now calculate the prime factors of 52972 and 52980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52972 and 52980.

How to find the GCF of 52972 and 52980?

We will first find the prime factorization of 52972 and 52980. After we will calculate the factors of 52972 and 52980 and find the biggest common factor number .

Step-1: Prime Factorization of 52972

Prime factors of 52972 are 2, 17, 19, 41. Prime factorization of 52972 in exponential form is:

52972 = 2² × 17¹ × 19¹ × 41¹

Step-2: 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-3: Factors of 52972

List of positive integer factors of 52972 that divides 52972 without a remainder.

1, 2, 4, 17, 19, 34, 38, 41, 68, 76, 82, 164, 323, 646, 697, 779, 1292, 1394, 1558, 2788, 3116, 13243, 26486

Step-4: Factors of 52980

List of positive integer factors of 52980 that divides 52972 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52972 and 52980. The biggest common factor number is the GCF number.
So the greatest common factor 52972 and 52980 is 4.

Also check out the Least Common Multiple of 52972 and 52980