What is the Greatest Common Factor of 33564 and 33579?

Greatest common factor (GCF) of 33564 and 33579 is 3.

GCF(33564,33579) = 3

We will now calculate the prime factors of 33564 and 33579, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33564 and 33579.

How to find the GCF of 33564 and 33579?

We will first find the prime factorization of 33564 and 33579. After we will calculate the factors of 33564 and 33579 and find the biggest common factor number .

Step-1: Prime Factorization of 33564

Prime factors of 33564 are 2, 3, 2797. Prime factorization of 33564 in exponential form is:

33564 = 2² × 3¹ × 2797¹

Step-2: Prime Factorization of 33579

Prime factors of 33579 are 3, 7, 13, 41. Prime factorization of 33579 in exponential form is:

33579 = 3² × 7¹ × 13¹ × 41¹

Step-3: Factors of 33564

List of positive integer factors of 33564 that divides 33564 without a remainder.

1, 2, 3, 4, 6, 12, 2797, 5594, 8391, 11188, 16782

Step-4: Factors of 33579

List of positive integer factors of 33579 that divides 33564 without a remainder.

1, 3, 7, 9, 13, 21, 39, 41, 63, 91, 117, 123, 273, 287, 369, 533, 819, 861, 1599, 2583, 3731, 4797, 11193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33564 and 33579. The biggest common factor number is the GCF number.
So the greatest common factor 33564 and 33579 is 3.

Also check out the Least Common Multiple of 33564 and 33579