What is the Greatest Common Factor of 33610 and 33623?

Greatest common factor (GCF) of 33610 and 33623 is 1.

GCF(33610,33623) = 1

We will now calculate the prime factors of 33610 and 33623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33610 and 33623.

How to find the GCF of 33610 and 33623?

We will first find the prime factorization of 33610 and 33623. After we will calculate the factors of 33610 and 33623 and find the biggest common factor number .

Step-1: Prime Factorization of 33610

Prime factors of 33610 are 2, 5, 3361. Prime factorization of 33610 in exponential form is:

33610 = 2¹ × 5¹ × 3361¹

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 33610

List of positive integer factors of 33610 that divides 33610 without a remainder.

1, 2, 5, 10, 3361, 6722, 16805

Step-4: Factors of 33623

List of positive integer factors of 33623 that divides 33610 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33610 and 33623. The biggest common factor number is the GCF number.
So the greatest common factor 33610 and 33623 is 1.

Also check out the Least Common Multiple of 33610 and 33623