What is the Greatest Common Factor of 64125 and 64139?

Greatest common factor (GCF) of 64125 and 64139 is 1.

GCF(64125,64139) = 1

We will now calculate the prime factors of 64125 and 64139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64125 and 64139.

How to find the GCF of 64125 and 64139?

We will first find the prime factorization of 64125 and 64139. After we will calculate the factors of 64125 and 64139 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 64139

Prime factors of 64139 are 31, 2069. Prime factorization of 64139 in exponential form is:

64139 = 31¹ × 2069¹

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 64139

List of positive integer factors of 64139 that divides 64125 without a remainder.

1, 31, 2069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64125 and 64139. The biggest common factor number is the GCF number.
So the greatest common factor 64125 and 64139 is 1.

Also check out the Least Common Multiple of 64125 and 64139