What is the Greatest Common Factor of 33564 and 33571?

Greatest common factor (GCF) of 33564 and 33571 is 1.

GCF(33564,33571) = 1

We will now calculate the prime factors of 33564 and 33571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33564 and 33571.

How to find the GCF of 33564 and 33571?

We will first find the prime factorization of 33564 and 33571. After we will calculate the factors of 33564 and 33571 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 33571

Prime factors of 33571 are 59, 569. Prime factorization of 33571 in exponential form is:

33571 = 59¹ × 569¹

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 33571

List of positive integer factors of 33571 that divides 33564 without a remainder.

1, 59, 569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33564 and 33571. The biggest common factor number is the GCF number.
So the greatest common factor 33564 and 33571 is 1.

Also check out the Least Common Multiple of 33564 and 33571