What is the Greatest Common Factor of 82728 and 82744?

Greatest common factor (GCF) of 82728 and 82744 is 8.

GCF(82728,82744) = 8

We will now calculate the prime factors of 82728 and 82744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82728 and 82744.

How to find the GCF of 82728 and 82744?

We will first find the prime factorization of 82728 and 82744. After we will calculate the factors of 82728 and 82744 and find the biggest common factor number .

Step-1: Prime Factorization of 82728

Prime factors of 82728 are 2, 3, 383. Prime factorization of 82728 in exponential form is:

82728 = 2³ × 3³ × 383¹

Step-2: Prime Factorization of 82744

Prime factors of 82744 are 2, 10343. Prime factorization of 82744 in exponential form is:

82744 = 2³ × 10343¹

Step-3: Factors of 82728

List of positive integer factors of 82728 that divides 82728 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 383, 766, 1149, 1532, 2298, 3064, 3447, 4596, 6894, 9192, 10341, 13788, 20682, 27576, 41364

Step-4: Factors of 82744

List of positive integer factors of 82744 that divides 82728 without a remainder.

1, 2, 4, 8, 10343, 20686, 41372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82728 and 82744. The biggest common factor number is the GCF number.
So the greatest common factor 82728 and 82744 is 8.

Also check out the Least Common Multiple of 82728 and 82744