What is the Greatest Common Factor of 60931 and 60944?

Greatest common factor (GCF) of 60931 and 60944 is 13.

GCF(60931,60944) = 13

We will now calculate the prime factors of 60931 and 60944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60931 and 60944.

How to find the GCF of 60931 and 60944?

We will first find the prime factorization of 60931 and 60944. After we will calculate the factors of 60931 and 60944 and find the biggest common factor number .

Step-1: Prime Factorization of 60931

Prime factors of 60931 are 13, 43, 109. Prime factorization of 60931 in exponential form is:

60931 = 13¹ × 43¹ × 109¹

Step-2: Prime Factorization of 60944

Prime factors of 60944 are 2, 13, 293. Prime factorization of 60944 in exponential form is:

60944 = 2⁴ × 13¹ × 293¹

Step-3: Factors of 60931

List of positive integer factors of 60931 that divides 60931 without a remainder.

1, 13, 43, 109, 559, 1417, 4687

Step-4: Factors of 60944

List of positive integer factors of 60944 that divides 60931 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 293, 586, 1172, 2344, 3809, 4688, 7618, 15236, 30472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60931 and 60944. The biggest common factor number is the GCF number.
So the greatest common factor 60931 and 60944 is 13.

Also check out the Least Common Multiple of 60931 and 60944