What is the Greatest Common Factor of 33564 and 33581?

Greatest common factor (GCF) of 33564 and 33581 is 1.

GCF(33564,33581) = 1

We will now calculate the prime factors of 33564 and 33581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33564 and 33581.

How to find the GCF of 33564 and 33581?

We will first find the prime factorization of 33564 and 33581. After we will calculate the factors of 33564 and 33581 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 33581

Prime factors of 33581 are 33581. Prime factorization of 33581 in exponential form is:

33581 = 33581¹

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 33581

List of positive integer factors of 33581 that divides 33564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33564 and 33581. The biggest common factor number is the GCF number.
So the greatest common factor 33564 and 33581 is 1.

Also check out the Least Common Multiple of 33564 and 33581