What is the Greatest Common Factor of 33606 and 33623?

Greatest common factor (GCF) of 33606 and 33623 is 1.

GCF(33606,33623) = 1

We will now calculate the prime factors of 33606 and 33623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33606 and 33623.

How to find the GCF of 33606 and 33623?

We will first find the prime factorization of 33606 and 33623. After we will calculate the factors of 33606 and 33623 and find the biggest common factor number .

Step-1: Prime Factorization of 33606

Prime factors of 33606 are 2, 3, 1867. Prime factorization of 33606 in exponential form is:

33606 = 2¹ × 3² × 1867¹

Step-2: Prime Factorization of 33623

Prime factors of 33623 are 33623. Prime factorization of 33623 in exponential form is:

33623 = 33623¹

Step-3: Factors of 33606

List of positive integer factors of 33606 that divides 33606 without a remainder.

1, 2, 3, 6, 9, 18, 1867, 3734, 5601, 11202, 16803

Step-4: Factors of 33623

List of positive integer factors of 33623 that divides 33606 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33606 and 33623. The biggest common factor number is the GCF number.
So the greatest common factor 33606 and 33623 is 1.

Also check out the Least Common Multiple of 33606 and 33623