What is the Greatest Common Factor of 24497 and 24508?

Greatest common factor (GCF) of 24497 and 24508 is 11.

GCF(24497,24508) = 11

We will now calculate the prime factors of 24497 and 24508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24497 and 24508.

How to find the GCF of 24497 and 24508?

We will first find the prime factorization of 24497 and 24508. After we will calculate the factors of 24497 and 24508 and find the biggest common factor number .

Step-1: Prime Factorization of 24497

Prime factors of 24497 are 11, 17, 131. Prime factorization of 24497 in exponential form is:

24497 = 11¹ × 17¹ × 131¹

Step-2: Prime Factorization of 24508

Prime factors of 24508 are 2, 11, 557. Prime factorization of 24508 in exponential form is:

24508 = 2² × 11¹ × 557¹

Step-3: Factors of 24497

List of positive integer factors of 24497 that divides 24497 without a remainder.

1, 11, 17, 131, 187, 1441, 2227

Step-4: Factors of 24508

List of positive integer factors of 24508 that divides 24497 without a remainder.

1, 2, 4, 11, 22, 44, 557, 1114, 2228, 6127, 12254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24497 and 24508. The biggest common factor number is the GCF number.
So the greatest common factor 24497 and 24508 is 11.

Also check out the Least Common Multiple of 24497 and 24508