What is the Greatest Common Factor of 83328 and 83348?

Greatest common factor (GCF) of 83328 and 83348 is 4.

GCF(83328,83348) = 4

We will now calculate the prime factors of 83328 and 83348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83328 and 83348.

How to find the GCF of 83328 and 83348?

We will first find the prime factorization of 83328 and 83348. After we will calculate the factors of 83328 and 83348 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 83348

Prime factors of 83348 are 2, 67, 311. Prime factorization of 83348 in exponential form is:

83348 = 2² × 67¹ × 311¹

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 83348

List of positive integer factors of 83348 that divides 83328 without a remainder.

1, 2, 4, 67, 134, 268, 311, 622, 1244, 20837, 41674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83328 and 83348. The biggest common factor number is the GCF number.
So the greatest common factor 83328 and 83348 is 4.

Also check out the Least Common Multiple of 83328 and 83348