What is the Greatest Common Factor of 33585 and 33603?

Greatest common factor (GCF) of 33585 and 33603 is 3.

GCF(33585,33603) = 3

We will now calculate the prime factors of 33585 and 33603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33585 and 33603.

How to find the GCF of 33585 and 33603?

We will first find the prime factorization of 33585 and 33603. After we will calculate the factors of 33585 and 33603 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 33603

Prime factors of 33603 are 3, 23, 487. Prime factorization of 33603 in exponential form is:

33603 = 3¹ × 23¹ × 487¹

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 33603

List of positive integer factors of 33603 that divides 33585 without a remainder.

1, 3, 23, 69, 487, 1461, 11201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33585 and 33603. The biggest common factor number is the GCF number.
So the greatest common factor 33585 and 33603 is 3.

Also check out the Least Common Multiple of 33585 and 33603