What is the Greatest Common Factor of 83712 and 83723?

Greatest common factor (GCF) of 83712 and 83723 is 1.

GCF(83712,83723) = 1

We will now calculate the prime factors of 83712 and 83723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83723.

How to find the GCF of 83712 and 83723?

We will first find the prime factorization of 83712 and 83723. After we will calculate the factors of 83712 and 83723 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 83723

Prime factors of 83723 are 29, 2887. Prime factorization of 83723 in exponential form is:

83723 = 29¹ × 2887¹

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 83723

List of positive integer factors of 83723 that divides 83712 without a remainder.

1, 29, 2887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83712 and 83723. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83723 is 1.

Also check out the Least Common Multiple of 83712 and 83723