What is the Greatest Common Factor of 83328 and 83333?

Greatest common factor (GCF) of 83328 and 83333 is 1.

GCF(83328,83333) = 1

We will now calculate the prime factors of 83328 and 83333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83328 and 83333.

How to find the GCF of 83328 and 83333?

We will first find the prime factorization of 83328 and 83333. After we will calculate the factors of 83328 and 83333 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 83333

Prime factors of 83333 are 167, 499. Prime factorization of 83333 in exponential form is:

83333 = 167¹ × 499¹

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 83333

List of positive integer factors of 83333 that divides 83328 without a remainder.

1, 167, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83328 and 83333. The biggest common factor number is the GCF number.
So the greatest common factor 83328 and 83333 is 1.

Also check out the Least Common Multiple of 83328 and 83333