What is the Greatest Common Factor of 33609 and 33628?

Greatest common factor (GCF) of 33609 and 33628 is 1.

GCF(33609,33628) = 1

We will now calculate the prime factors of 33609 and 33628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33609 and 33628.

How to find the GCF of 33609 and 33628?

We will first find the prime factorization of 33609 and 33628. After we will calculate the factors of 33609 and 33628 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 33628

Prime factors of 33628 are 2, 7, 1201. Prime factorization of 33628 in exponential form is:

33628 = 2² × 7¹ × 1201¹

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 33628

List of positive integer factors of 33628 that divides 33609 without a remainder.

1, 2, 4, 7, 14, 28, 1201, 2402, 4804, 8407, 16814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33609 and 33628. The biggest common factor number is the GCF number.
So the greatest common factor 33609 and 33628 is 1.

Also check out the Least Common Multiple of 33609 and 33628