What is the Greatest Common Factor of 24519 and 24523?

Greatest common factor (GCF) of 24519 and 24523 is 1.

GCF(24519,24523) = 1

We will now calculate the prime factors of 24519 and 24523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24519 and 24523.

How to find the GCF of 24519 and 24523?

We will first find the prime factorization of 24519 and 24523. After we will calculate the factors of 24519 and 24523 and find the biggest common factor number .

Step-1: Prime Factorization of 24519

Prime factors of 24519 are 3, 11, 743. Prime factorization of 24519 in exponential form is:

24519 = 3¹ × 11¹ × 743¹

Step-2: Prime Factorization of 24523

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

24523 = 137¹ × 179¹

Step-3: Factors of 24519

List of positive integer factors of 24519 that divides 24519 without a remainder.

1, 3, 11, 33, 743, 2229, 8173

Step-4: Factors of 24523

List of positive integer factors of 24523 that divides 24519 without a remainder.

1, 137, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24519 and 24523. The biggest common factor number is the GCF number.
So the greatest common factor 24519 and 24523 is 1.

Also check out the Least Common Multiple of 24519 and 24523