What is the Greatest Common Factor of 64116 and 64124?

Greatest common factor (GCF) of 64116 and 64124 is 4.

GCF(64116,64124) = 4

We will now calculate the prime factors of 64116 and 64124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64116 and 64124.

How to find the GCF of 64116 and 64124?

We will first find the prime factorization of 64116 and 64124. After we will calculate the factors of 64116 and 64124 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 64124

Prime factors of 64124 are 2, 17, 23, 41. Prime factorization of 64124 in exponential form is:

64124 = 2² × 17¹ × 23¹ × 41¹

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 64124

List of positive integer factors of 64124 that divides 64116 without a remainder.

1, 2, 4, 17, 23, 34, 41, 46, 68, 82, 92, 164, 391, 697, 782, 943, 1394, 1564, 1886, 2788, 3772, 16031, 32062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64116 and 64124. The biggest common factor number is the GCF number.
So the greatest common factor 64116 and 64124 is 4.

Also check out the Least Common Multiple of 64116 and 64124