What is the Greatest Common Factor of 33609 and 33626?

Greatest common factor (GCF) of 33609 and 33626 is 17.

GCF(33609,33626) = 17

We will now calculate the prime factors of 33609 and 33626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33609 and 33626.

How to find the GCF of 33609 and 33626?

We will first find the prime factorization of 33609 and 33626. After we will calculate the factors of 33609 and 33626 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 33626

Prime factors of 33626 are 2, 17, 23, 43. Prime factorization of 33626 in exponential form is:

33626 = 2¹ × 17¹ × 23¹ × 43¹

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 33626

List of positive integer factors of 33626 that divides 33609 without a remainder.

1, 2, 17, 23, 34, 43, 46, 86, 391, 731, 782, 989, 1462, 1978, 16813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33609 and 33626. The biggest common factor number is the GCF number.
So the greatest common factor 33609 and 33626 is 17.

Also check out the Least Common Multiple of 33609 and 33626