What is the Greatest Common Factor of 24623 and 24635?

Greatest common factor (GCF) of 24623 and 24635 is 1.

GCF(24623,24635) = 1

We will now calculate the prime factors of 24623 and 24635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24623 and 24635.

How to find the GCF of 24623 and 24635?

We will first find the prime factorization of 24623 and 24635. After we will calculate the factors of 24623 and 24635 and find the biggest common factor number .

Step-1: Prime Factorization of 24623

Prime factors of 24623 are 24623. Prime factorization of 24623 in exponential form is:

24623 = 24623¹

Step-2: Prime Factorization of 24635

Prime factors of 24635 are 5, 13, 379. Prime factorization of 24635 in exponential form is:

24635 = 5¹ × 13¹ × 379¹

Step-3: Factors of 24623

List of positive integer factors of 24623 that divides 24623 without a remainder.

Step-4: Factors of 24635

List of positive integer factors of 24635 that divides 24623 without a remainder.

1, 5, 13, 65, 379, 1895, 4927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24623 and 24635. The biggest common factor number is the GCF number.
So the greatest common factor 24623 and 24635 is 1.

Also check out the Least Common Multiple of 24623 and 24635