What is the Greatest Common Factor of 33555 and 33564?

Greatest common factor (GCF) of 33555 and 33564 is 3.

GCF(33555,33564) = 3

We will now calculate the prime factors of 33555 and 33564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33555 and 33564.

How to find the GCF of 33555 and 33564?

We will first find the prime factorization of 33555 and 33564. After we will calculate the factors of 33555 and 33564 and find the biggest common factor number .

Step-1: Prime Factorization of 33555

Prime factors of 33555 are 3, 5, 2237. Prime factorization of 33555 in exponential form is:

33555 = 3¹ × 5¹ × 2237¹

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 33555

List of positive integer factors of 33555 that divides 33555 without a remainder.

1, 3, 5, 15, 2237, 6711, 11185

Step-4: Factors of 33564

List of positive integer factors of 33564 that divides 33555 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 33555 and 33564. The biggest common factor number is the GCF number.
So the greatest common factor 33555 and 33564 is 3.

Also check out the Least Common Multiple of 33555 and 33564