What is the Greatest Common Factor of 83256 and 83268?

Greatest common factor (GCF) of 83256 and 83268 is 12.

GCF(83256,83268) = 12

We will now calculate the prime factors of 83256 and 83268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83256 and 83268.

How to find the GCF of 83256 and 83268?

We will first find the prime factorization of 83256 and 83268. After we will calculate the factors of 83256 and 83268 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 83268

Prime factors of 83268 are 2, 3, 257. Prime factorization of 83268 in exponential form is:

83268 = 2² × 3⁴ × 257¹

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 83268

List of positive integer factors of 83268 that divides 83256 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 257, 324, 514, 771, 1028, 1542, 2313, 3084, 4626, 6939, 9252, 13878, 20817, 27756, 41634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83256 and 83268. The biggest common factor number is the GCF number.
So the greatest common factor 83256 and 83268 is 12.

Also check out the Least Common Multiple of 83256 and 83268