What is the Greatest Common Factor of 24507 and 24518?

Greatest common factor (GCF) of 24507 and 24518 is 1.

GCF(24507,24518) = 1

We will now calculate the prime factors of 24507 and 24518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24507 and 24518.

How to find the GCF of 24507 and 24518?

We will first find the prime factorization of 24507 and 24518. After we will calculate the factors of 24507 and 24518 and find the biggest common factor number .

Step-1: Prime Factorization of 24507

Prime factors of 24507 are 3, 7, 389. Prime factorization of 24507 in exponential form is:

24507 = 3² × 7¹ × 389¹

Step-2: Prime Factorization of 24518

Prime factors of 24518 are 2, 13, 23, 41. Prime factorization of 24518 in exponential form is:

24518 = 2¹ × 13¹ × 23¹ × 41¹

Step-3: Factors of 24507

List of positive integer factors of 24507 that divides 24507 without a remainder.

1, 3, 7, 9, 21, 63, 389, 1167, 2723, 3501, 8169

Step-4: Factors of 24518

List of positive integer factors of 24518 that divides 24507 without a remainder.

1, 2, 13, 23, 26, 41, 46, 82, 299, 533, 598, 943, 1066, 1886, 12259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24507 and 24518. The biggest common factor number is the GCF number.
So the greatest common factor 24507 and 24518 is 1.

Also check out the Least Common Multiple of 24507 and 24518