What is the Greatest Common Factor of 24516 and 24531?

Greatest common factor (GCF) of 24516 and 24531 is 3.

GCF(24516,24531) = 3

We will now calculate the prime factors of 24516 and 24531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24516 and 24531.

How to find the GCF of 24516 and 24531?

We will first find the prime factorization of 24516 and 24531. After we will calculate the factors of 24516 and 24531 and find the biggest common factor number .

Step-1: Prime Factorization of 24516

Prime factors of 24516 are 2, 3, 227. Prime factorization of 24516 in exponential form is:

24516 = 2² × 3³ × 227¹

Step-2: Prime Factorization of 24531

Prime factors of 24531 are 3, 13, 17, 37. Prime factorization of 24531 in exponential form is:

24531 = 3¹ × 13¹ × 17¹ × 37¹

Step-3: Factors of 24516

List of positive integer factors of 24516 that divides 24516 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 6129, 8172, 12258

Step-4: Factors of 24531

List of positive integer factors of 24531 that divides 24516 without a remainder.

1, 3, 13, 17, 37, 39, 51, 111, 221, 481, 629, 663, 1443, 1887, 8177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24516 and 24531. The biggest common factor number is the GCF number.
So the greatest common factor 24516 and 24531 is 3.

Also check out the Least Common Multiple of 24516 and 24531