What is the Greatest Common Factor of 33564 and 33577?

Greatest common factor (GCF) of 33564 and 33577 is 1.

GCF(33564,33577) = 1

We will now calculate the prime factors of 33564 and 33577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33564 and 33577.

How to find the GCF of 33564 and 33577?

We will first find the prime factorization of 33564 and 33577. After we will calculate the factors of 33564 and 33577 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 33577

Prime factors of 33577 are 33577. Prime factorization of 33577 in exponential form is:

33577 = 33577¹

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 33577

List of positive integer factors of 33577 that divides 33564 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33564 and 33577. The biggest common factor number is the GCF number.
So the greatest common factor 33564 and 33577 is 1.

Also check out the Least Common Multiple of 33564 and 33577