What is the Greatest Common Factor of 60972 and 60980?

Greatest common factor (GCF) of 60972 and 60980 is 4.

GCF(60972,60980) = 4

We will now calculate the prime factors of 60972 and 60980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60972 and 60980.

How to find the GCF of 60972 and 60980?

We will first find the prime factorization of 60972 and 60980. After we will calculate the factors of 60972 and 60980 and find the biggest common factor number .

Step-1: Prime Factorization of 60972

Prime factors of 60972 are 2, 3, 5081. Prime factorization of 60972 in exponential form is:

60972 = 2² × 3¹ × 5081¹

Step-2: Prime Factorization of 60980

Prime factors of 60980 are 2, 5, 3049. Prime factorization of 60980 in exponential form is:

60980 = 2² × 5¹ × 3049¹

Step-3: Factors of 60972

List of positive integer factors of 60972 that divides 60972 without a remainder.

1, 2, 3, 4, 6, 12, 5081, 10162, 15243, 20324, 30486

Step-4: Factors of 60980

List of positive integer factors of 60980 that divides 60972 without a remainder.

1, 2, 4, 5, 10, 20, 3049, 6098, 12196, 15245, 30490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60972 and 60980. The biggest common factor number is the GCF number.
So the greatest common factor 60972 and 60980 is 4.

Also check out the Least Common Multiple of 60972 and 60980