What is the Greatest Common Factor of 52980 and 52989?

Greatest common factor (GCF) of 52980 and 52989 is 3.

GCF(52980,52989) = 3

We will now calculate the prime factors of 52980 and 52989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52980 and 52989.

How to find the GCF of 52980 and 52989?

We will first find the prime factorization of 52980 and 52989. After we will calculate the factors of 52980 and 52989 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 52989

Prime factors of 52989 are 3, 17, 1039. Prime factorization of 52989 in exponential form is:

52989 = 3¹ × 17¹ × 1039¹

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 52989

List of positive integer factors of 52989 that divides 52980 without a remainder.

1, 3, 17, 51, 1039, 3117, 17663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52980 and 52989. The biggest common factor number is the GCF number.
So the greatest common factor 52980 and 52989 is 3.

Also check out the Least Common Multiple of 52980 and 52989