What is the Greatest Common Factor of 72864 and 72883?

Greatest common factor (GCF) of 72864 and 72883 is 1.

GCF(72864,72883) = 1

We will now calculate the prime factors of 72864 and 72883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72864 and 72883.

How to find the GCF of 72864 and 72883?

We will first find the prime factorization of 72864 and 72883. After we will calculate the factors of 72864 and 72883 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 72883

Prime factors of 72883 are 72883. Prime factorization of 72883 in exponential form is:

72883 = 72883¹

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 72883

List of positive integer factors of 72883 that divides 72864 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72864 and 72883. The biggest common factor number is the GCF number.
So the greatest common factor 72864 and 72883 is 1.

Also check out the Least Common Multiple of 72864 and 72883