What is the Greatest Common Factor of 52980 and 52985?

Greatest common factor (GCF) of 52980 and 52985 is 5.

GCF(52980,52985) = 5

We will now calculate the prime factors of 52980 and 52985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52980 and 52985.

How to find the GCF of 52980 and 52985?

We will first find the prime factorization of 52980 and 52985. After we will calculate the factors of 52980 and 52985 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 52985

Prime factors of 52985 are 5, 10597. Prime factorization of 52985 in exponential form is:

52985 = 5¹ × 10597¹

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 52985

List of positive integer factors of 52985 that divides 52980 without a remainder.

1, 5, 10597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52980 and 52985. The biggest common factor number is the GCF number.
So the greatest common factor 52980 and 52985 is 5.

Also check out the Least Common Multiple of 52980 and 52985