What is the Greatest Common Factor of 60974 and 60980?

Greatest common factor (GCF) of 60974 and 60980 is 2.

GCF(60974,60980) = 2

We will now calculate the prime factors of 60974 and 60980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60974 and 60980.

How to find the GCF of 60974 and 60980?

We will first find the prime factorization of 60974 and 60980. After we will calculate the factors of 60974 and 60980 and find the biggest common factor number .

Step-1: Prime Factorization of 60974

Prime factors of 60974 are 2, 43, 709. Prime factorization of 60974 in exponential form is:

60974 = 2¹ × 43¹ × 709¹

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 60974

List of positive integer factors of 60974 that divides 60974 without a remainder.

1, 2, 43, 86, 709, 1418, 30487

Step-4: Factors of 60980

List of positive integer factors of 60980 that divides 60974 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 60974 and 60980. The biggest common factor number is the GCF number.
So the greatest common factor 60974 and 60980 is 2.

Also check out the Least Common Multiple of 60974 and 60980