What is the Greatest Common Factor of 62931 and 62937?

Greatest common factor (GCF) of 62931 and 62937 is 3.

GCF(62931,62937) = 3

We will now calculate the prime factors of 62931 and 62937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62931 and 62937.

How to find the GCF of 62931 and 62937?

We will first find the prime factorization of 62931 and 62937. After we will calculate the factors of 62931 and 62937 and find the biggest common factor number .

Step-1: Prime Factorization of 62931

Prime factors of 62931 are 3, 11, 1907. Prime factorization of 62931 in exponential form is:

62931 = 3¹ × 11¹ × 1907¹

Step-2: Prime Factorization of 62937

Prime factors of 62937 are 3, 7, 37. Prime factorization of 62937 in exponential form is:

62937 = 3⁵ × 7¹ × 37¹

Step-3: Factors of 62931

List of positive integer factors of 62931 that divides 62931 without a remainder.

1, 3, 11, 33, 1907, 5721, 20977

Step-4: Factors of 62937

List of positive integer factors of 62937 that divides 62931 without a remainder.

1, 3, 7, 9, 21, 27, 37, 63, 81, 111, 189, 243, 259, 333, 567, 777, 999, 1701, 2331, 2997, 6993, 8991, 20979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62931 and 62937. The biggest common factor number is the GCF number.
So the greatest common factor 62931 and 62937 is 3.

Also check out the Least Common Multiple of 62931 and 62937