What is the Greatest Common Factor of 82533 and 82548?

Greatest common factor (GCF) of 82533 and 82548 is 3.

GCF(82533,82548) = 3

We will now calculate the prime factors of 82533 and 82548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82533 and 82548.

How to find the GCF of 82533 and 82548?

We will first find the prime factorization of 82533 and 82548. After we will calculate the factors of 82533 and 82548 and find the biggest common factor number .

Step-1: Prime Factorization of 82533

Prime factors of 82533 are 3, 11, 41, 61. Prime factorization of 82533 in exponential form is:

82533 = 3¹ × 11¹ × 41¹ × 61¹

Step-2: 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-3: Factors of 82533

List of positive integer factors of 82533 that divides 82533 without a remainder.

1, 3, 11, 33, 41, 61, 123, 183, 451, 671, 1353, 2013, 2501, 7503, 27511

Step-4: Factors of 82548

List of positive integer factors of 82548 that divides 82533 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82533 and 82548. The biggest common factor number is the GCF number.
So the greatest common factor 82533 and 82548 is 3.

Also check out the Least Common Multiple of 82533 and 82548