What is the Greatest Common Factor of 24915 and 24927?

Greatest common factor (GCF) of 24915 and 24927 is 3.

GCF(24915,24927) = 3

We will now calculate the prime factors of 24915 and 24927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24915 and 24927.

How to find the GCF of 24915 and 24927?

We will first find the prime factorization of 24915 and 24927. After we will calculate the factors of 24915 and 24927 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24927

Prime factors of 24927 are 3, 7, 1187. Prime factorization of 24927 in exponential form is:

24927 = 3¹ × 7¹ × 1187¹

Step-3: Factors of 24915

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

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

Step-4: Factors of 24927

List of positive integer factors of 24927 that divides 24915 without a remainder.

1, 3, 7, 21, 1187, 3561, 8309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24915 and 24927. The biggest common factor number is the GCF number.
So the greatest common factor 24915 and 24927 is 3.

Also check out the Least Common Multiple of 24915 and 24927