What is the Greatest Common Factor of 64125 and 64130?

Greatest common factor (GCF) of 64125 and 64130 is 5.

GCF(64125,64130) = 5

We will now calculate the prime factors of 64125 and 64130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64125 and 64130.

How to find the GCF of 64125 and 64130?

We will first find the prime factorization of 64125 and 64130. After we will calculate the factors of 64125 and 64130 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 64130

Prime factors of 64130 are 2, 5, 11, 53. Prime factorization of 64130 in exponential form is:

64130 = 2¹ × 5¹ × 11² × 53¹

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 64130

List of positive integer factors of 64130 that divides 64125 without a remainder.

1, 2, 5, 10, 11, 22, 53, 55, 106, 110, 121, 242, 265, 530, 583, 605, 1166, 1210, 2915, 5830, 6413, 12826, 32065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64125 and 64130. The biggest common factor number is the GCF number.
So the greatest common factor 64125 and 64130 is 5.

Also check out the Least Common Multiple of 64125 and 64130