What is the Greatest Common Factor of 82521 and 82533?

Greatest common factor (GCF) of 82521 and 82533 is 3.

GCF(82521,82533) = 3

We will now calculate the prime factors of 82521 and 82533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82521 and 82533.

How to find the GCF of 82521 and 82533?

We will first find the prime factorization of 82521 and 82533. After we will calculate the factors of 82521 and 82533 and find the biggest common factor number .

Step-1: Prime Factorization of 82521

Prime factors of 82521 are 3, 53, 173. Prime factorization of 82521 in exponential form is:

82521 = 3² × 53¹ × 173¹

Step-2: 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-3: Factors of 82521

List of positive integer factors of 82521 that divides 82521 without a remainder.

1, 3, 9, 53, 159, 173, 477, 519, 1557, 9169, 27507

Step-4: Factors of 82533

List of positive integer factors of 82533 that divides 82521 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82521 and 82533. The biggest common factor number is the GCF number.
So the greatest common factor 82521 and 82533 is 3.

Also check out the Least Common Multiple of 82521 and 82533