What is the Greatest Common Factor of 33564 and 33572?

Greatest common factor (GCF) of 33564 and 33572 is 4.

GCF(33564,33572) = 4

We will now calculate the prime factors of 33564 and 33572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33564 and 33572.

How to find the GCF of 33564 and 33572?

We will first find the prime factorization of 33564 and 33572. After we will calculate the factors of 33564 and 33572 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 33572

Prime factors of 33572 are 2, 7, 11, 109. Prime factorization of 33572 in exponential form is:

33572 = 2² × 7¹ × 11¹ × 109¹

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 33572

List of positive integer factors of 33572 that divides 33564 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 109, 154, 218, 308, 436, 763, 1199, 1526, 2398, 3052, 4796, 8393, 16786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33564 and 33572. The biggest common factor number is the GCF number.
So the greatest common factor 33564 and 33572 is 4.

Also check out the Least Common Multiple of 33564 and 33572