What is the Greatest Common Factor of 82548 and 82566?

Greatest common factor (GCF) of 82548 and 82566 is 18.

GCF(82548,82566) = 18

We will now calculate the prime factors of 82548 and 82566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82548 and 82566.

How to find the GCF of 82548 and 82566?

We will first find the prime factorization of 82548 and 82566. After we will calculate the factors of 82548 and 82566 and find the biggest common factor number .

Step-1: Prime Factorization of 82548

Prime factors of 82548 are 2, 3, 2293. Prime factorization of 82548 in exponential form is:

82548 = 2² × 3² × 2293¹

Step-2: Prime Factorization of 82566

Prime factors of 82566 are 2, 3, 11, 139. Prime factorization of 82566 in exponential form is:

82566 = 2¹ × 3³ × 11¹ × 139¹

Step-3: Factors of 82548

List of positive integer factors of 82548 that divides 82548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2293, 4586, 6879, 9172, 13758, 20637, 27516, 41274

Step-4: Factors of 82566

List of positive integer factors of 82566 that divides 82548 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 139, 198, 278, 297, 417, 594, 834, 1251, 1529, 2502, 3058, 3753, 4587, 7506, 9174, 13761, 27522, 41283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82548 and 82566. The biggest common factor number is the GCF number.
So the greatest common factor 82548 and 82566 is 18.

Also check out the Least Common Multiple of 82548 and 82566