What is the Greatest Common Factor of 52980 and 52986?

Greatest common factor (GCF) of 52980 and 52986 is 6.

GCF(52980,52986) = 6

We will now calculate the prime factors of 52980 and 52986, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52980 and 52986.

How to find the GCF of 52980 and 52986?

We will first find the prime factorization of 52980 and 52986. After we will calculate the factors of 52980 and 52986 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 52986

Prime factors of 52986 are 2, 3, 8831. Prime factorization of 52986 in exponential form is:

52986 = 2¹ × 3¹ × 8831¹

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 52986

List of positive integer factors of 52986 that divides 52980 without a remainder.

1, 2, 3, 6, 8831, 17662, 26493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52980 and 52986. The biggest common factor number is the GCF number.
So the greatest common factor 52980 and 52986 is 6.

Also check out the Least Common Multiple of 52980 and 52986