What is the Greatest Common Factor of 83320 and 83328?

Greatest common factor (GCF) of 83320 and 83328 is 8.

GCF(83320,83328) = 8

We will now calculate the prime factors of 83320 and 83328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83320 and 83328.

How to find the GCF of 83320 and 83328?

We will first find the prime factorization of 83320 and 83328. After we will calculate the factors of 83320 and 83328 and find the biggest common factor number .

Step-1: Prime Factorization of 83320

Prime factors of 83320 are 2, 5, 2083. Prime factorization of 83320 in exponential form is:

83320 = 2³ × 5¹ × 2083¹

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 83320

List of positive integer factors of 83320 that divides 83320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2083, 4166, 8332, 10415, 16664, 20830, 41660

Step-4: Factors of 83328

List of positive integer factors of 83328 that divides 83320 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 83320 and 83328. The biggest common factor number is the GCF number.
So the greatest common factor 83320 and 83328 is 8.

Also check out the Least Common Multiple of 83320 and 83328