What is the Greatest Common Factor of 33567 and 33585?

Greatest common factor (GCF) of 33567 and 33585 is 3.

GCF(33567,33585) = 3

We will now calculate the prime factors of 33567 and 33585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33567 and 33585.

How to find the GCF of 33567 and 33585?

We will first find the prime factorization of 33567 and 33585. After we will calculate the factors of 33567 and 33585 and find the biggest common factor number .

Step-1: Prime Factorization of 33567

Prime factors of 33567 are 3, 67, 167. Prime factorization of 33567 in exponential form is:

33567 = 3¹ × 67¹ × 167¹

Step-2: Prime Factorization of 33585

Prime factors of 33585 are 3, 5, 2239. Prime factorization of 33585 in exponential form is:

33585 = 3¹ × 5¹ × 2239¹

Step-3: Factors of 33567

List of positive integer factors of 33567 that divides 33567 without a remainder.

1, 3, 67, 167, 201, 501, 11189

Step-4: Factors of 33585

List of positive integer factors of 33585 that divides 33567 without a remainder.

1, 3, 5, 15, 2239, 6717, 11195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33567 and 33585. The biggest common factor number is the GCF number.
So the greatest common factor 33567 and 33585 is 3.

Also check out the Least Common Multiple of 33567 and 33585