What is the Greatest Common Factor of 24897 and 24913?

Greatest common factor (GCF) of 24897 and 24913 is 1.

GCF(24897,24913) = 1

We will now calculate the prime factors of 24897 and 24913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24897 and 24913.

How to find the GCF of 24897 and 24913?

We will first find the prime factorization of 24897 and 24913. After we will calculate the factors of 24897 and 24913 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24913

Prime factors of 24913 are 7, 3559. Prime factorization of 24913 in exponential form is:

24913 = 7¹ × 3559¹

Step-3: Factors of 24897

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

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

Step-4: Factors of 24913

List of positive integer factors of 24913 that divides 24897 without a remainder.

1, 7, 3559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24897 and 24913. The biggest common factor number is the GCF number.
So the greatest common factor 24897 and 24913 is 1.

Also check out the Least Common Multiple of 24897 and 24913