What is the Greatest Common Factor of 24893 and 24898?

Greatest common factor (GCF) of 24893 and 24898 is 1.

GCF(24893,24898) = 1

We will now calculate the prime factors of 24893 and 24898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24893 and 24898.

How to find the GCF of 24893 and 24898?

We will first find the prime factorization of 24893 and 24898. After we will calculate the factors of 24893 and 24898 and find the biggest common factor number .

Step-1: Prime Factorization of 24893

Prime factors of 24893 are 11, 31, 73. Prime factorization of 24893 in exponential form is:

24893 = 11¹ × 31¹ × 73¹

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 24893

List of positive integer factors of 24893 that divides 24893 without a remainder.

1, 11, 31, 73, 341, 803, 2263

Step-4: Factors of 24898

List of positive integer factors of 24898 that divides 24893 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24893 and 24898. The biggest common factor number is the GCF number.
So the greatest common factor 24893 and 24898 is 1.

Also check out the Least Common Multiple of 24893 and 24898