What is the Greatest Common Factor of 52980 and 52990?

Greatest common factor (GCF) of 52980 and 52990 is 10.

GCF(52980,52990) = 10

We will now calculate the prime factors of 52980 and 52990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52980 and 52990.

How to find the GCF of 52980 and 52990?

We will first find the prime factorization of 52980 and 52990. After we will calculate the factors of 52980 and 52990 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 52990

Prime factors of 52990 are 2, 5, 7, 757. Prime factorization of 52990 in exponential form is:

52990 = 2¹ × 5¹ × 7¹ × 757¹

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 52990

List of positive integer factors of 52990 that divides 52980 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 757, 1514, 3785, 5299, 7570, 10598, 26495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52980 and 52990. The biggest common factor number is the GCF number.
So the greatest common factor 52980 and 52990 is 10.

Also check out the Least Common Multiple of 52980 and 52990