What is the Greatest Common Factor of 62916 and 62931?

Greatest common factor (GCF) of 62916 and 62931 is 3.

GCF(62916,62931) = 3

We will now calculate the prime factors of 62916 and 62931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62916 and 62931.

How to find the GCF of 62916 and 62931?

We will first find the prime factorization of 62916 and 62931. After we will calculate the factors of 62916 and 62931 and find the biggest common factor number .

Step-1: Prime Factorization of 62916

Prime factors of 62916 are 2, 3, 7, 107. Prime factorization of 62916 in exponential form is:

62916 = 2² × 3¹ × 7² × 107¹

Step-2: 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-3: Factors of 62916

List of positive integer factors of 62916 that divides 62916 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 107, 147, 196, 214, 294, 321, 428, 588, 642, 749, 1284, 1498, 2247, 2996, 4494, 5243, 8988, 10486, 15729, 20972, 31458

Step-4: Factors of 62931

List of positive integer factors of 62931 that divides 62916 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62916 and 62931. The biggest common factor number is the GCF number.
So the greatest common factor 62916 and 62931 is 3.

Also check out the Least Common Multiple of 62916 and 62931