What is the Greatest Common Factor of 83712 and 83727?

Greatest common factor (GCF) of 83712 and 83727 is 3.

GCF(83712,83727) = 3

We will now calculate the prime factors of 83712 and 83727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83727.

How to find the GCF of 83712 and 83727?

We will first find the prime factorization of 83712 and 83727. After we will calculate the factors of 83712 and 83727 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 83727

Prime factors of 83727 are 3, 7, 443. Prime factorization of 83727 in exponential form is:

83727 = 3³ × 7¹ × 443¹

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 83727

List of positive integer factors of 83727 that divides 83712 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 443, 1329, 3101, 3987, 9303, 11961, 27909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83712 and 83727. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83727 is 3.

Also check out the Least Common Multiple of 83712 and 83727