What is the Greatest Common Factor of 64125 and 64140?

Greatest common factor (GCF) of 64125 and 64140 is 15.

GCF(64125,64140) = 15

We will now calculate the prime factors of 64125 and 64140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64125 and 64140.

How to find the GCF of 64125 and 64140?

We will first find the prime factorization of 64125 and 64140. After we will calculate the factors of 64125 and 64140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64140

Prime factors of 64140 are 2, 3, 5, 1069. Prime factorization of 64140 in exponential form is:

64140 = 2² × 3¹ × 5¹ × 1069¹

Step-3: Factors of 64125

List of positive integer factors of 64125 that divides 64125 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

Step-4: Factors of 64140

List of positive integer factors of 64140 that divides 64125 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1069, 2138, 3207, 4276, 5345, 6414, 10690, 12828, 16035, 21380, 32070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64125 and 64140. The biggest common factor number is the GCF number.
So the greatest common factor 64125 and 64140 is 15.

Also check out the Least Common Multiple of 64125 and 64140