What is the Greatest Common Factor of 83328 and 83342?

Greatest common factor (GCF) of 83328 and 83342 is 14.

GCF(83328,83342) = 14

We will now calculate the prime factors of 83328 and 83342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83328 and 83342.

How to find the GCF of 83328 and 83342?

We will first find the prime factorization of 83328 and 83342. After we will calculate the factors of 83328 and 83342 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83342

Prime factors of 83342 are 2, 7, 5953. Prime factorization of 83342 in exponential form is:

83342 = 2¹ × 7¹ × 5953¹

Step-3: Factors of 83328

List of positive integer factors of 83328 that divides 83328 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

Step-4: Factors of 83342

List of positive integer factors of 83342 that divides 83328 without a remainder.

1, 2, 7, 14, 5953, 11906, 41671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83328 and 83342. The biggest common factor number is the GCF number.
So the greatest common factor 83328 and 83342 is 14.

Also check out the Least Common Multiple of 83328 and 83342