What is the Greatest Common Factor of 33609 and 33615?

Greatest common factor (GCF) of 33609 and 33615 is 3.

GCF(33609,33615) = 3

We will now calculate the prime factors of 33609 and 33615, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33609 and 33615.

How to find the GCF of 33609 and 33615?

We will first find the prime factorization of 33609 and 33615. After we will calculate the factors of 33609 and 33615 and find the biggest common factor number .

Step-1: Prime Factorization of 33609

Prime factors of 33609 are 3, 17, 659. Prime factorization of 33609 in exponential form is:

33609 = 3¹ × 17¹ × 659¹

Step-2: Prime Factorization of 33615

Prime factors of 33615 are 3, 5, 83. Prime factorization of 33615 in exponential form is:

33615 = 3⁴ × 5¹ × 83¹

Step-3: Factors of 33609

List of positive integer factors of 33609 that divides 33609 without a remainder.

1, 3, 17, 51, 659, 1977, 11203

Step-4: Factors of 33615

List of positive integer factors of 33615 that divides 33609 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 83, 135, 249, 405, 415, 747, 1245, 2241, 3735, 6723, 11205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33609 and 33615. The biggest common factor number is the GCF number.
So the greatest common factor 33609 and 33615 is 3.

Also check out the Least Common Multiple of 33609 and 33615