What is the Greatest Common Factor of 33585 and 33596?

Greatest common factor (GCF) of 33585 and 33596 is 1.

GCF(33585,33596) = 1

We will now calculate the prime factors of 33585 and 33596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33585 and 33596.

How to find the GCF of 33585 and 33596?

We will first find the prime factorization of 33585 and 33596. After we will calculate the factors of 33585 and 33596 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33596

Prime factors of 33596 are 2, 37, 227. Prime factorization of 33596 in exponential form is:

33596 = 2² × 37¹ × 227¹

Step-3: Factors of 33585

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

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

Step-4: Factors of 33596

List of positive integer factors of 33596 that divides 33585 without a remainder.

1, 2, 4, 37, 74, 148, 227, 454, 908, 8399, 16798

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33585 and 33596. The biggest common factor number is the GCF number.
So the greatest common factor 33585 and 33596 is 1.

Also check out the Least Common Multiple of 33585 and 33596