What is the Greatest Common Factor of 24801 and 24819?

Greatest common factor (GCF) of 24801 and 24819 is 3.

GCF(24801,24819) = 3

We will now calculate the prime factors of 24801 and 24819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24801 and 24819.

How to find the GCF of 24801 and 24819?

We will first find the prime factorization of 24801 and 24819. After we will calculate the factors of 24801 and 24819 and find the biggest common factor number .

Step-1: Prime Factorization of 24801

Prime factors of 24801 are 3, 7, 1181. Prime factorization of 24801 in exponential form is:

24801 = 3¹ × 7¹ × 1181¹

Step-2: Prime Factorization of 24819

Prime factors of 24819 are 3, 8273. Prime factorization of 24819 in exponential form is:

24819 = 3¹ × 8273¹

Step-3: Factors of 24801

List of positive integer factors of 24801 that divides 24801 without a remainder.

1, 3, 7, 21, 1181, 3543, 8267

Step-4: Factors of 24819

List of positive integer factors of 24819 that divides 24801 without a remainder.

1, 3, 8273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24801 and 24819. The biggest common factor number is the GCF number.
So the greatest common factor 24801 and 24819 is 3.

Also check out the Least Common Multiple of 24801 and 24819