What is the Greatest Common Factor of 72864 and 72874?

Greatest common factor (GCF) of 72864 and 72874 is 2.

GCF(72864,72874) = 2

We will now calculate the prime factors of 72864 and 72874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72864 and 72874.

How to find the GCF of 72864 and 72874?

We will first find the prime factorization of 72864 and 72874. After we will calculate the factors of 72864 and 72874 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 72874

Prime factors of 72874 are 2, 83, 439. Prime factorization of 72874 in exponential form is:

72874 = 2¹ × 83¹ × 439¹

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 72874

List of positive integer factors of 72874 that divides 72864 without a remainder.

1, 2, 83, 166, 439, 878, 36437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72864 and 72874. The biggest common factor number is the GCF number.
So the greatest common factor 72864 and 72874 is 2.

Also check out the Least Common Multiple of 72864 and 72874