What is the Greatest Common Factor of 82926 and 82932?

Greatest common factor (GCF) of 82926 and 82932 is 6.

GCF(82926,82932) = 6

We will now calculate the prime factors of 82926 and 82932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82926 and 82932.

How to find the GCF of 82926 and 82932?

We will first find the prime factorization of 82926 and 82932. After we will calculate the factors of 82926 and 82932 and find the biggest common factor number .

Step-1: Prime Factorization of 82926

Prime factors of 82926 are 2, 3, 17, 271. Prime factorization of 82926 in exponential form is:

82926 = 2¹ × 3² × 17¹ × 271¹

Step-2: Prime Factorization of 82932

Prime factors of 82932 are 2, 3, 6911. Prime factorization of 82932 in exponential form is:

82932 = 2² × 3¹ × 6911¹

Step-3: Factors of 82926

List of positive integer factors of 82926 that divides 82926 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 271, 306, 542, 813, 1626, 2439, 4607, 4878, 9214, 13821, 27642, 41463

Step-4: Factors of 82932

List of positive integer factors of 82932 that divides 82926 without a remainder.

1, 2, 3, 4, 6, 12, 6911, 13822, 20733, 27644, 41466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82926 and 82932. The biggest common factor number is the GCF number.
So the greatest common factor 82926 and 82932 is 6.

Also check out the Least Common Multiple of 82926 and 82932