What is the Greatest Common Factor of 72657 and 72675?

Greatest common factor (GCF) of 72657 and 72675 is 9.

GCF(72657,72675) = 9

We will now calculate the prime factors of 72657 and 72675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72657 and 72675.

How to find the GCF of 72657 and 72675?

We will first find the prime factorization of 72657 and 72675. After we will calculate the factors of 72657 and 72675 and find the biggest common factor number .

Step-1: Prime Factorization of 72657

Prime factors of 72657 are 3, 13, 23. Prime factorization of 72657 in exponential form is:

72657 = 3⁵ × 13¹ × 23¹

Step-2: Prime Factorization of 72675

Prime factors of 72675 are 3, 5, 17, 19. Prime factorization of 72675 in exponential form is:

72675 = 3² × 5² × 17¹ × 19¹

Step-3: Factors of 72657

List of positive integer factors of 72657 that divides 72657 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 81, 117, 207, 243, 299, 351, 621, 897, 1053, 1863, 2691, 3159, 5589, 8073, 24219

Step-4: Factors of 72675

List of positive integer factors of 72675 that divides 72657 without a remainder.

1, 3, 5, 9, 15, 17, 19, 25, 45, 51, 57, 75, 85, 95, 153, 171, 225, 255, 285, 323, 425, 475, 765, 855, 969, 1275, 1425, 1615, 2907, 3825, 4275, 4845, 8075, 14535, 24225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72657 and 72675. The biggest common factor number is the GCF number.
So the greatest common factor 72657 and 72675 is 9.

Also check out the Least Common Multiple of 72657 and 72675