What is the Greatest Common Factor of 24519 and 24533?

Greatest common factor (GCF) of 24519 and 24533 is 1.

GCF(24519,24533) = 1

We will now calculate the prime factors of 24519 and 24533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24519 and 24533.

How to find the GCF of 24519 and 24533?

We will first find the prime factorization of 24519 and 24533. After we will calculate the factors of 24519 and 24533 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 24533

Prime factors of 24533 are 24533. Prime factorization of 24533 in exponential form is:

24533 = 24533¹

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 24533

List of positive integer factors of 24533 that divides 24519 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24519 and 24533. The biggest common factor number is the GCF number.
So the greatest common factor 24519 and 24533 is 1.

Also check out the Least Common Multiple of 24519 and 24533