What is the Greatest Common Factor of 23623 and 23635?

Greatest common factor (GCF) of 23623 and 23635 is 1.

GCF(23623,23635) = 1

We will now calculate the prime factors of 23623 and 23635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23623 and 23635.

How to find the GCF of 23623 and 23635?

We will first find the prime factorization of 23623 and 23635. After we will calculate the factors of 23623 and 23635 and find the biggest common factor number .

Step-1: Prime Factorization of 23623

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

23623 = 23623¹

Step-2: Prime Factorization of 23635

Prime factors of 23635 are 5, 29, 163. Prime factorization of 23635 in exponential form is:

23635 = 5¹ × 29¹ × 163¹

Step-3: Factors of 23623

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

Step-4: Factors of 23635

List of positive integer factors of 23635 that divides 23623 without a remainder.

1, 5, 29, 145, 163, 815, 4727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23623 and 23635. The biggest common factor number is the GCF number.
So the greatest common factor 23623 and 23635 is 1.

Also check out the Least Common Multiple of 23623 and 23635