What is the Greatest Common Factor of 83256 and 83271?

Greatest common factor (GCF) of 83256 and 83271 is 3.

GCF(83256,83271) = 3

We will now calculate the prime factors of 83256 and 83271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83256 and 83271.

How to find the GCF of 83256 and 83271?

We will first find the prime factorization of 83256 and 83271. After we will calculate the factors of 83256 and 83271 and find the biggest common factor number .

Step-1: Prime Factorization of 83256

Prime factors of 83256 are 2, 3, 3469. Prime factorization of 83256 in exponential form is:

83256 = 2³ × 3¹ × 3469¹

Step-2: Prime Factorization of 83271

Prime factors of 83271 are 3, 41, 677. Prime factorization of 83271 in exponential form is:

83271 = 3¹ × 41¹ × 677¹

Step-3: Factors of 83256

List of positive integer factors of 83256 that divides 83256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3469, 6938, 10407, 13876, 20814, 27752, 41628

Step-4: Factors of 83271

List of positive integer factors of 83271 that divides 83256 without a remainder.

1, 3, 41, 123, 677, 2031, 27757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83256 and 83271. The biggest common factor number is the GCF number.
So the greatest common factor 83256 and 83271 is 3.

Also check out the Least Common Multiple of 83256 and 83271