What is the Greatest Common Factor of 83316 and 83328?

Greatest common factor (GCF) of 83316 and 83328 is 12.

GCF(83316,83328) = 12

We will now calculate the prime factors of 83316 and 83328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83316 and 83328.

How to find the GCF of 83316 and 83328?

We will first find the prime factorization of 83316 and 83328. After we will calculate the factors of 83316 and 83328 and find the biggest common factor number .

Step-1: Prime Factorization of 83316

Prime factors of 83316 are 2, 3, 53, 131. Prime factorization of 83316 in exponential form is:

83316 = 2² × 3¹ × 53¹ × 131¹

Step-2: Prime Factorization of 83328

Prime factors of 83328 are 2, 3, 7, 31. Prime factorization of 83328 in exponential form is:

83328 = 2⁷ × 3¹ × 7¹ × 31¹

Step-3: Factors of 83316

List of positive integer factors of 83316 that divides 83316 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 131, 159, 212, 262, 318, 393, 524, 636, 786, 1572, 6943, 13886, 20829, 27772, 41658

Step-4: Factors of 83328

List of positive integer factors of 83328 that divides 83316 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 32, 42, 48, 56, 62, 64, 84, 93, 96, 112, 124, 128, 168, 186, 192, 217, 224, 248, 336, 372, 384, 434, 448, 496, 651, 672, 744, 868, 896, 992, 1302, 1344, 1488, 1736, 1984, 2604, 2688, 2976, 3472, 3968, 5208, 5952, 6944, 10416, 11904, 13888, 20832, 27776, 41664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83316 and 83328. The biggest common factor number is the GCF number.
So the greatest common factor 83316 and 83328 is 12.

Also check out the Least Common Multiple of 83316 and 83328