What is the Greatest Common Factor of 24891 and 24897?

Greatest common factor (GCF) of 24891 and 24897 is 3.

GCF(24891,24897) = 3

We will now calculate the prime factors of 24891 and 24897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24891 and 24897.

How to find the GCF of 24891 and 24897?

We will first find the prime factorization of 24891 and 24897. After we will calculate the factors of 24891 and 24897 and find the biggest common factor number .

Step-1: Prime Factorization of 24891

Prime factors of 24891 are 3, 8297. Prime factorization of 24891 in exponential form is:

24891 = 3¹ × 8297¹

Step-2: Prime Factorization of 24897

Prime factors of 24897 are 3, 43, 193. Prime factorization of 24897 in exponential form is:

24897 = 3¹ × 43¹ × 193¹

Step-3: Factors of 24891

List of positive integer factors of 24891 that divides 24891 without a remainder.

1, 3, 8297

Step-4: Factors of 24897

List of positive integer factors of 24897 that divides 24891 without a remainder.

1, 3, 43, 129, 193, 579, 8299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24891 and 24897. The biggest common factor number is the GCF number.
So the greatest common factor 24891 and 24897 is 3.

Also check out the Least Common Multiple of 24891 and 24897