What is the Greatest Common Factor of 24519 and 24532?

Greatest common factor (GCF) of 24519 and 24532 is 1.

GCF(24519,24532) = 1

We will now calculate the prime factors of 24519 and 24532, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24519 and 24532.

How to find the GCF of 24519 and 24532?

We will first find the prime factorization of 24519 and 24532. After we will calculate the factors of 24519 and 24532 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 24532

Prime factors of 24532 are 2, 6133. Prime factorization of 24532 in exponential form is:

24532 = 2² × 6133¹

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 24532

List of positive integer factors of 24532 that divides 24519 without a remainder.

1, 2, 4, 6133, 12266

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24519 and 24532. The biggest common factor number is the GCF number.
So the greatest common factor 24519 and 24532 is 1.

Also check out the Least Common Multiple of 24519 and 24532