What is the Greatest Common Factor of 33564 and 33574?

Greatest common factor (GCF) of 33564 and 33574 is 2.

GCF(33564,33574) = 2

We will now calculate the prime factors of 33564 and 33574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33564 and 33574.

How to find the GCF of 33564 and 33574?

We will first find the prime factorization of 33564 and 33574. After we will calculate the factors of 33564 and 33574 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 33574

Prime factors of 33574 are 2, 16787. Prime factorization of 33574 in exponential form is:

33574 = 2¹ × 16787¹

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 33574

List of positive integer factors of 33574 that divides 33564 without a remainder.

1, 2, 16787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33564 and 33574. The biggest common factor number is the GCF number.
So the greatest common factor 33564 and 33574 is 2.

Also check out the Least Common Multiple of 33564 and 33574