What is the Greatest Common Factor of 72849 and 72864?

Greatest common factor (GCF) of 72849 and 72864 is 3.

GCF(72849,72864) = 3

We will now calculate the prime factors of 72849 and 72864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72849 and 72864.

How to find the GCF of 72849 and 72864?

We will first find the prime factorization of 72849 and 72864. After we will calculate the factors of 72849 and 72864 and find the biggest common factor number .

Step-1: Prime Factorization of 72849

Prime factors of 72849 are 3, 7, 3469. Prime factorization of 72849 in exponential form is:

72849 = 3¹ × 7¹ × 3469¹

Step-2: 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-3: Factors of 72849

List of positive integer factors of 72849 that divides 72849 without a remainder.

1, 3, 7, 21, 3469, 10407, 24283

Step-4: Factors of 72864

List of positive integer factors of 72864 that divides 72849 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72849 and 72864. The biggest common factor number is the GCF number.
So the greatest common factor 72849 and 72864 is 3.

Also check out the Least Common Multiple of 72849 and 72864