What is the Greatest Common Factor of 64116 and 64125?

Greatest common factor (GCF) of 64116 and 64125 is 9.

GCF(64116,64125) = 9

We will now calculate the prime factors of 64116 and 64125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64116 and 64125.

How to find the GCF of 64116 and 64125?

We will first find the prime factorization of 64116 and 64125. After we will calculate the factors of 64116 and 64125 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 64125

Prime factors of 64125 are 3, 5, 19. Prime factorization of 64125 in exponential form is:

64125 = 3³ × 5³ × 19¹

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 64125

List of positive integer factors of 64125 that divides 64116 without a remainder.

1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 125, 135, 171, 225, 285, 375, 475, 513, 675, 855, 1125, 1425, 2375, 2565, 3375, 4275, 7125, 12825, 21375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64116 and 64125. The biggest common factor number is the GCF number.
So the greatest common factor 64116 and 64125 is 9.

Also check out the Least Common Multiple of 64116 and 64125