What is the Greatest Common Factor of 24884 and 24898?

Greatest common factor (GCF) of 24884 and 24898 is 2.

GCF(24884,24898) = 2

We will now calculate the prime factors of 24884 and 24898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24884 and 24898.

How to find the GCF of 24884 and 24898?

We will first find the prime factorization of 24884 and 24898. After we will calculate the factors of 24884 and 24898 and find the biggest common factor number .

Step-1: Prime Factorization of 24884

Prime factors of 24884 are 2, 6221. Prime factorization of 24884 in exponential form is:

24884 = 2² × 6221¹

Step-2: Prime Factorization of 24898

Prime factors of 24898 are 2, 59, 211. Prime factorization of 24898 in exponential form is:

24898 = 2¹ × 59¹ × 211¹

Step-3: Factors of 24884

List of positive integer factors of 24884 that divides 24884 without a remainder.

1, 2, 4, 6221, 12442

Step-4: Factors of 24898

List of positive integer factors of 24898 that divides 24884 without a remainder.

1, 2, 59, 118, 211, 422, 12449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24884 and 24898. The biggest common factor number is the GCF number.
So the greatest common factor 24884 and 24898 is 2.

Also check out the Least Common Multiple of 24884 and 24898