What is the Greatest Common Factor of 64125 and 64135?

Greatest common factor (GCF) of 64125 and 64135 is 5.

GCF(64125,64135) = 5

We will now calculate the prime factors of 64125 and 64135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64125 and 64135.

How to find the GCF of 64125 and 64135?

We will first find the prime factorization of 64125 and 64135. After we will calculate the factors of 64125 and 64135 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 64135

Prime factors of 64135 are 5, 101, 127. Prime factorization of 64135 in exponential form is:

64135 = 5¹ × 101¹ × 127¹

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 64135

List of positive integer factors of 64135 that divides 64125 without a remainder.

1, 5, 101, 127, 505, 635, 12827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64125 and 64135. The biggest common factor number is the GCF number.
So the greatest common factor 64125 and 64135 is 5.

Also check out the Least Common Multiple of 64125 and 64135