What is the Greatest Common Factor of 24523 and 24538?

Greatest common factor (GCF) of 24523 and 24538 is 1.

GCF(24523,24538) = 1

We will now calculate the prime factors of 24523 and 24538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24523 and 24538.

How to find the GCF of 24523 and 24538?

We will first find the prime factorization of 24523 and 24538. After we will calculate the factors of 24523 and 24538 and find the biggest common factor number .

Step-1: Prime Factorization of 24523

Prime factors of 24523 are 137, 179. Prime factorization of 24523 in exponential form is:

24523 = 137¹ × 179¹

Step-2: Prime Factorization of 24538

Prime factors of 24538 are 2, 12269. Prime factorization of 24538 in exponential form is:

24538 = 2¹ × 12269¹

Step-3: Factors of 24523

List of positive integer factors of 24523 that divides 24523 without a remainder.

1, 137, 179

Step-4: Factors of 24538

List of positive integer factors of 24538 that divides 24523 without a remainder.

1, 2, 12269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24523 and 24538. The biggest common factor number is the GCF number.
So the greatest common factor 24523 and 24538 is 1.

Also check out the Least Common Multiple of 24523 and 24538