What is the Greatest Common Factor of 82533 and 82542?

Greatest common factor (GCF) of 82533 and 82542 is 3.

GCF(82533,82542) = 3

We will now calculate the prime factors of 82533 and 82542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82533 and 82542.

How to find the GCF of 82533 and 82542?

We will first find the prime factorization of 82533 and 82542. After we will calculate the factors of 82533 and 82542 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 82542

Prime factors of 82542 are 2, 3, 13757. Prime factorization of 82542 in exponential form is:

82542 = 2¹ × 3¹ × 13757¹

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 82542

List of positive integer factors of 82542 that divides 82533 without a remainder.

1, 2, 3, 6, 13757, 27514, 41271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82533 and 82542. The biggest common factor number is the GCF number.
So the greatest common factor 82533 and 82542 is 3.

Also check out the Least Common Multiple of 82533 and 82542