What is the Greatest Common Factor of 83268 and 83286?

Greatest common factor (GCF) of 83268 and 83286 is 18.

GCF(83268,83286) = 18

We will now calculate the prime factors of 83268 and 83286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83268 and 83286.

How to find the GCF of 83268 and 83286?

We will first find the prime factorization of 83268 and 83286. After we will calculate the factors of 83268 and 83286 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83286

Prime factors of 83286 are 2, 3, 7, 661. Prime factorization of 83286 in exponential form is:

83286 = 2¹ × 3² × 7¹ × 661¹

Step-3: Factors of 83268

List of positive integer factors of 83268 that divides 83268 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

Step-4: Factors of 83286

List of positive integer factors of 83286 that divides 83268 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 661, 1322, 1983, 3966, 4627, 5949, 9254, 11898, 13881, 27762, 41643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83268 and 83286. The biggest common factor number is the GCF number.
So the greatest common factor 83268 and 83286 is 18.

Also check out the Least Common Multiple of 83268 and 83286