What is the Greatest Common Factor of 64116 and 64131?

Greatest common factor (GCF) of 64116 and 64131 is 3.

GCF(64116,64131) = 3

We will now calculate the prime factors of 64116 and 64131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64116 and 64131.

How to find the GCF of 64116 and 64131?

We will first find the prime factorization of 64116 and 64131. After we will calculate the factors of 64116 and 64131 and find the biggest common factor number .

Step-1: Prime Factorization of 64116

Prime factors of 64116 are 2, 3, 13, 137. Prime factorization of 64116 in exponential form is:

64116 = 2² × 3² × 13¹ × 137¹

Step-2: Prime Factorization of 64131

Prime factors of 64131 are 3, 21377. Prime factorization of 64131 in exponential form is:

64131 = 3¹ × 21377¹

Step-3: Factors of 64116

List of positive integer factors of 64116 that divides 64116 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 137, 156, 234, 274, 411, 468, 548, 822, 1233, 1644, 1781, 2466, 3562, 4932, 5343, 7124, 10686, 16029, 21372, 32058

Step-4: Factors of 64131

List of positive integer factors of 64131 that divides 64116 without a remainder.

1, 3, 21377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64116 and 64131. The biggest common factor number is the GCF number.
So the greatest common factor 64116 and 64131 is 3.

Also check out the Least Common Multiple of 64116 and 64131