What is the Greatest Common Factor of 83712 and 83728?

Greatest common factor (GCF) of 83712 and 83728 is 16.

GCF(83712,83728) = 16

We will now calculate the prime factors of 83712 and 83728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83728.

How to find the GCF of 83712 and 83728?

We will first find the prime factorization of 83712 and 83728. After we will calculate the factors of 83712 and 83728 and find the biggest common factor number .

Step-1: Prime Factorization of 83712

Prime factors of 83712 are 2, 3, 109. Prime factorization of 83712 in exponential form is:

83712 = 2⁸ × 3¹ × 109¹

Step-2: Prime Factorization of 83728

Prime factors of 83728 are 2, 5233. Prime factorization of 83728 in exponential form is:

83728 = 2⁴ × 5233¹

Step-3: Factors of 83712

List of positive integer factors of 83712 that divides 83712 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 128, 192, 218, 256, 327, 384, 436, 654, 768, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464, 13952, 20928, 27904, 41856

Step-4: Factors of 83728

List of positive integer factors of 83728 that divides 83712 without a remainder.

1, 2, 4, 8, 16, 5233, 10466, 20932, 41864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83712 and 83728. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83728 is 16.

Also check out the Least Common Multiple of 83712 and 83728