What is the Greatest Common Factor of 60967 and 60980?

Greatest common factor (GCF) of 60967 and 60980 is 1.

GCF(60967,60980) = 1

We will now calculate the prime factors of 60967 and 60980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60967 and 60980.

How to find the GCF of 60967 and 60980?

We will first find the prime factorization of 60967 and 60980. After we will calculate the factors of 60967 and 60980 and find the biggest common factor number .

Step-1: Prime Factorization of 60967

Prime factors of 60967 are 41, 1487. Prime factorization of 60967 in exponential form is:

60967 = 41¹ × 1487¹

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 60967

List of positive integer factors of 60967 that divides 60967 without a remainder.

1, 41, 1487

Step-4: Factors of 60980

List of positive integer factors of 60980 that divides 60967 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 60967 and 60980. The biggest common factor number is the GCF number.
So the greatest common factor 60967 and 60980 is 1.

Also check out the Least Common Multiple of 60967 and 60980