What is the Greatest Common Factor of 81312 and 81321?

Greatest common factor (GCF) of 81312 and 81321 is 3.

GCF(81312,81321) = 3

We will now calculate the prime factors of 81312 and 81321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81312 and 81321.

How to find the GCF of 81312 and 81321?

We will first find the prime factorization of 81312 and 81321. After we will calculate the factors of 81312 and 81321 and find the biggest common factor number .

Step-1: Prime Factorization of 81312

Prime factors of 81312 are 2, 3, 7, 11. Prime factorization of 81312 in exponential form is:

81312 = 2⁵ × 3¹ × 7¹ × 11²

Step-2: Prime Factorization of 81321

Prime factors of 81321 are 3, 27107. Prime factorization of 81321 in exponential form is:

81321 = 3¹ × 27107¹

Step-3: Factors of 81312

List of positive integer factors of 81312 that divides 81312 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 32, 33, 42, 44, 48, 56, 66, 77, 84, 88, 96, 112, 121, 132, 154, 168, 176, 224, 231, 242, 264, 308, 336, 352, 363, 462, 484, 528, 616, 672, 726, 847, 924, 968, 1056, 1232, 1452, 1694, 1848, 1936, 2464, 2541, 2904, 3388, 3696, 3872, 5082, 5808, 6776, 7392, 10164, 11616, 13552, 20328, 27104, 40656

Step-4: Factors of 81321

List of positive integer factors of 81321 that divides 81312 without a remainder.

1, 3, 27107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81312 and 81321. The biggest common factor number is the GCF number.
So the greatest common factor 81312 and 81321 is 3.

Also check out the Least Common Multiple of 81312 and 81321