What is the Greatest Common Factor of 72864 and 72875?

Greatest common factor (GCF) of 72864 and 72875 is 11.

GCF(72864,72875) = 11

We will now calculate the prime factors of 72864 and 72875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72864 and 72875.

How to find the GCF of 72864 and 72875?

We will first find the prime factorization of 72864 and 72875. After we will calculate the factors of 72864 and 72875 and find the biggest common factor number .

Step-1: Prime Factorization of 72864

Prime factors of 72864 are 2, 3, 11, 23. Prime factorization of 72864 in exponential form is:

72864 = 2⁵ × 3² × 11¹ × 23¹

Step-2: Prime Factorization of 72875

Prime factors of 72875 are 5, 11, 53. Prime factorization of 72875 in exponential form is:

72875 = 5³ × 11¹ × 53¹

Step-3: Factors of 72864

List of positive integer factors of 72864 that divides 72864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 23, 24, 32, 33, 36, 44, 46, 48, 66, 69, 72, 88, 92, 96, 99, 132, 138, 144, 176, 184, 198, 207, 253, 264, 276, 288, 352, 368, 396, 414, 506, 528, 552, 736, 759, 792, 828, 1012, 1056, 1104, 1518, 1584, 1656, 2024, 2208, 2277, 3036, 3168, 3312, 4048, 4554, 6072, 6624, 8096, 9108, 12144, 18216, 24288, 36432

Step-4: Factors of 72875

List of positive integer factors of 72875 that divides 72864 without a remainder.

1, 5, 11, 25, 53, 55, 125, 265, 275, 583, 1325, 1375, 2915, 6625, 14575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72864 and 72875. The biggest common factor number is the GCF number.
So the greatest common factor 72864 and 72875 is 11.

Also check out the Least Common Multiple of 72864 and 72875