What is the Greatest Common Factor of 64125 and 64144?

Greatest common factor (GCF) of 64125 and 64144 is 19.

GCF(64125,64144) = 19

We will now calculate the prime factors of 64125 and 64144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64125 and 64144.

How to find the GCF of 64125 and 64144?

We will first find the prime factorization of 64125 and 64144. After we will calculate the factors of 64125 and 64144 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 64144

Prime factors of 64144 are 2, 19, 211. Prime factorization of 64144 in exponential form is:

64144 = 2⁴ × 19¹ × 211¹

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 64144

List of positive integer factors of 64144 that divides 64125 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 211, 304, 422, 844, 1688, 3376, 4009, 8018, 16036, 32072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64125 and 64144. The biggest common factor number is the GCF number.
So the greatest common factor 64125 and 64144 is 19.

Also check out the Least Common Multiple of 64125 and 64144