What is the Greatest Common Factor of 72852 and 72864?

Greatest common factor (GCF) of 72852 and 72864 is 12.

GCF(72852,72864) = 12

We will now calculate the prime factors of 72852 and 72864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72852 and 72864.

How to find the GCF of 72852 and 72864?

We will first find the prime factorization of 72852 and 72864. After we will calculate the factors of 72852 and 72864 and find the biggest common factor number .

Step-1: Prime Factorization of 72852

Prime factors of 72852 are 2, 3, 13, 467. Prime factorization of 72852 in exponential form is:

72852 = 2² × 3¹ × 13¹ × 467¹

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 72852

List of positive integer factors of 72852 that divides 72852 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 467, 934, 1401, 1868, 2802, 5604, 6071, 12142, 18213, 24284, 36426

Step-4: Factors of 72864

List of positive integer factors of 72864 that divides 72852 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 72852 and 72864. The biggest common factor number is the GCF number.
So the greatest common factor 72852 and 72864 is 12.

Also check out the Least Common Multiple of 72852 and 72864