What is the Greatest Common Factor of 72864 and 72868?

Greatest common factor (GCF) of 72864 and 72868 is 4.

GCF(72864,72868) = 4

We will now calculate the prime factors of 72864 and 72868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72864 and 72868.

How to find the GCF of 72864 and 72868?

We will first find the prime factorization of 72864 and 72868. After we will calculate the factors of 72864 and 72868 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 72868

Prime factors of 72868 are 2, 18217. Prime factorization of 72868 in exponential form is:

72868 = 2² × 18217¹

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 72868

List of positive integer factors of 72868 that divides 72864 without a remainder.

1, 2, 4, 18217, 36434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72864 and 72868. The biggest common factor number is the GCF number.
So the greatest common factor 72864 and 72868 is 4.

Also check out the Least Common Multiple of 72864 and 72868