What is the Greatest Common Factor of 83712 and 83724?

Greatest common factor (GCF) of 83712 and 83724 is 12.

GCF(83712,83724) = 12

We will now calculate the prime factors of 83712 and 83724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83724.

How to find the GCF of 83712 and 83724?

We will first find the prime factorization of 83712 and 83724. After we will calculate the factors of 83712 and 83724 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 83724

Prime factors of 83724 are 2, 3, 6977. Prime factorization of 83724 in exponential form is:

83724 = 2² × 3¹ × 6977¹

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 83724

List of positive integer factors of 83724 that divides 83712 without a remainder.

1, 2, 3, 4, 6, 12, 6977, 13954, 20931, 27908, 41862

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83712 and 83724. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83724 is 12.

Also check out the Least Common Multiple of 83712 and 83724