What is the Greatest Common Factor of 24519 and 24525?

Greatest common factor (GCF) of 24519 and 24525 is 3.

GCF(24519,24525) = 3

We will now calculate the prime factors of 24519 and 24525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24519 and 24525.

How to find the GCF of 24519 and 24525?

We will first find the prime factorization of 24519 and 24525. After we will calculate the factors of 24519 and 24525 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 24525

Prime factors of 24525 are 3, 5, 109. Prime factorization of 24525 in exponential form is:

24525 = 3² × 5² × 109¹

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 24525

List of positive integer factors of 24525 that divides 24519 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 109, 225, 327, 545, 981, 1635, 2725, 4905, 8175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24519 and 24525. The biggest common factor number is the GCF number.
So the greatest common factor 24519 and 24525 is 3.

Also check out the Least Common Multiple of 24519 and 24525