What is the Greatest Common Factor of 23604 and 23623?

Greatest common factor (GCF) of 23604 and 23623 is 1.

GCF(23604,23623) = 1

We will now calculate the prime factors of 23604 and 23623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23604 and 23623.

How to find the GCF of 23604 and 23623?

We will first find the prime factorization of 23604 and 23623. After we will calculate the factors of 23604 and 23623 and find the biggest common factor number .

Step-1: Prime Factorization of 23604

Prime factors of 23604 are 2, 3, 7, 281. Prime factorization of 23604 in exponential form is:

23604 = 2² × 3¹ × 7¹ × 281¹

Step-2: Prime Factorization of 23623

Prime factors of 23623 are 23623. Prime factorization of 23623 in exponential form is:

23623 = 23623¹

Step-3: Factors of 23604

List of positive integer factors of 23604 that divides 23604 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 281, 562, 843, 1124, 1686, 1967, 3372, 3934, 5901, 7868, 11802

Step-4: Factors of 23623

List of positive integer factors of 23623 that divides 23604 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23604 and 23623. The biggest common factor number is the GCF number.
So the greatest common factor 23604 and 23623 is 1.

Also check out the Least Common Multiple of 23604 and 23623