What is the Greatest Common Factor of 24915 and 24920?

Greatest common factor (GCF) of 24915 and 24920 is 5.

GCF(24915,24920) = 5

We will now calculate the prime factors of 24915 and 24920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24915 and 24920.

How to find the GCF of 24915 and 24920?

We will first find the prime factorization of 24915 and 24920. After we will calculate the factors of 24915 and 24920 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 24920

Prime factors of 24920 are 2, 5, 7, 89. Prime factorization of 24920 in exponential form is:

24920 = 2³ × 5¹ × 7¹ × 89¹

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 24920

List of positive integer factors of 24920 that divides 24915 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 89, 140, 178, 280, 356, 445, 623, 712, 890, 1246, 1780, 2492, 3115, 3560, 4984, 6230, 12460

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24915 and 24920. The biggest common factor number is the GCF number.
So the greatest common factor 24915 and 24920 is 5.

Also check out the Least Common Multiple of 24915 and 24920