What is the Greatest Common Factor of 33544 and 33564?

Greatest common factor (GCF) of 33544 and 33564 is 4.

GCF(33544,33564) = 4

We will now calculate the prime factors of 33544 and 33564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33544 and 33564.

How to find the GCF of 33544 and 33564?

We will first find the prime factorization of 33544 and 33564. After we will calculate the factors of 33544 and 33564 and find the biggest common factor number .

Step-1: Prime Factorization of 33544

Prime factors of 33544 are 2, 7, 599. Prime factorization of 33544 in exponential form is:

33544 = 2³ × 7¹ × 599¹

Step-2: 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-3: Factors of 33544

List of positive integer factors of 33544 that divides 33544 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 599, 1198, 2396, 4193, 4792, 8386, 16772

Step-4: Factors of 33564

List of positive integer factors of 33564 that divides 33544 without a remainder.

1, 2, 3, 4, 6, 12, 2797, 5594, 8391, 11188, 16782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33544 and 33564. The biggest common factor number is the GCF number.
So the greatest common factor 33544 and 33564 is 4.

Also check out the Least Common Multiple of 33544 and 33564