What is the Greatest Common Factor of 83712 and 83731?

Greatest common factor (GCF) of 83712 and 83731 is 1.

GCF(83712,83731) = 1

We will now calculate the prime factors of 83712 and 83731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83712 and 83731.

How to find the GCF of 83712 and 83731?

We will first find the prime factorization of 83712 and 83731. After we will calculate the factors of 83712 and 83731 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 83731

Prime factors of 83731 are 31, 37, 73. Prime factorization of 83731 in exponential form is:

83731 = 31¹ × 37¹ × 73¹

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 83731

List of positive integer factors of 83731 that divides 83712 without a remainder.

1, 31, 37, 73, 1147, 2263, 2701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83712 and 83731. The biggest common factor number is the GCF number.
So the greatest common factor 83712 and 83731 is 1.

Also check out the Least Common Multiple of 83712 and 83731