What is the Greatest Common Factor of 24909 and 24915?

Greatest common factor (GCF) of 24909 and 24915 is 3.

GCF(24909,24915) = 3

We will now calculate the prime factors of 24909 and 24915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24909 and 24915.

How to find the GCF of 24909 and 24915?

We will first find the prime factorization of 24909 and 24915. After we will calculate the factors of 24909 and 24915 and find the biggest common factor number .

Step-1: Prime Factorization of 24909

Prime factors of 24909 are 3, 19, 23. Prime factorization of 24909 in exponential form is:

24909 = 3¹ × 19² × 23¹

Step-2: Prime Factorization of 24915

Prime factors of 24915 are 3, 5, 11, 151. Prime factorization of 24915 in exponential form is:

24915 = 3¹ × 5¹ × 11¹ × 151¹

Step-3: Factors of 24909

List of positive integer factors of 24909 that divides 24909 without a remainder.

1, 3, 19, 23, 57, 69, 361, 437, 1083, 1311, 8303

Step-4: Factors of 24915

List of positive integer factors of 24915 that divides 24909 without a remainder.

1, 3, 5, 11, 15, 33, 55, 151, 165, 453, 755, 1661, 2265, 4983, 8305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24909 and 24915. The biggest common factor number is the GCF number.
So the greatest common factor 24909 and 24915 is 3.

Also check out the Least Common Multiple of 24909 and 24915