What is the Greatest Common Factor of 33675 and 33690?

Greatest common factor (GCF) of 33675 and 33690 is 15.

GCF(33675,33690) = 15

We will now calculate the prime factors of 33675 and 33690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33675 and 33690.

How to find the GCF of 33675 and 33690?

We will first find the prime factorization of 33675 and 33690. After we will calculate the factors of 33675 and 33690 and find the biggest common factor number .

Step-1: Prime Factorization of 33675

Prime factors of 33675 are 3, 5, 449. Prime factorization of 33675 in exponential form is:

33675 = 3¹ × 5² × 449¹

Step-2: Prime Factorization of 33690

Prime factors of 33690 are 2, 3, 5, 1123. Prime factorization of 33690 in exponential form is:

33690 = 2¹ × 3¹ × 5¹ × 1123¹

Step-3: Factors of 33675

List of positive integer factors of 33675 that divides 33675 without a remainder.

1, 3, 5, 15, 25, 75, 449, 1347, 2245, 6735, 11225

Step-4: Factors of 33690

List of positive integer factors of 33690 that divides 33675 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1123, 2246, 3369, 5615, 6738, 11230, 16845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33675 and 33690. The biggest common factor number is the GCF number.
So the greatest common factor 33675 and 33690 is 15.

Also check out the Least Common Multiple of 33675 and 33690