What is the Greatest Common Factor of 83697 and 83712?

Greatest common factor (GCF) of 83697 and 83712 is 3.

GCF(83697,83712) = 3

We will now calculate the prime factors of 83697 and 83712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83697 and 83712.

How to find the GCF of 83697 and 83712?

We will first find the prime factorization of 83697 and 83712. After we will calculate the factors of 83697 and 83712 and find the biggest common factor number .

Step-1: Prime Factorization of 83697

Prime factors of 83697 are 3, 23, 1213. Prime factorization of 83697 in exponential form is:

83697 = 3¹ × 23¹ × 1213¹

Step-2: 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-3: Factors of 83697

List of positive integer factors of 83697 that divides 83697 without a remainder.

1, 3, 23, 69, 1213, 3639, 27899

Step-4: Factors of 83712

List of positive integer factors of 83712 that divides 83697 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83697 and 83712. The biggest common factor number is the GCF number.
So the greatest common factor 83697 and 83712 is 3.

Also check out the Least Common Multiple of 83697 and 83712