What is the Greatest Common Factor of 24519 and 24537?

Greatest common factor (GCF) of 24519 and 24537 is 3.

GCF(24519,24537) = 3

We will now calculate the prime factors of 24519 and 24537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24519 and 24537.

How to find the GCF of 24519 and 24537?

We will first find the prime factorization of 24519 and 24537. After we will calculate the factors of 24519 and 24537 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 24537

Prime factors of 24537 are 3, 8179. Prime factorization of 24537 in exponential form is:

24537 = 3¹ × 8179¹

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 24537

List of positive integer factors of 24537 that divides 24519 without a remainder.

1, 3, 8179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24519 and 24537. The biggest common factor number is the GCF number.
So the greatest common factor 24519 and 24537 is 3.

Also check out the Least Common Multiple of 24519 and 24537