What is the Greatest Common Factor of 24805 and 24814?

Greatest common factor (GCF) of 24805 and 24814 is 1.

GCF(24805,24814) = 1

We will now calculate the prime factors of 24805 and 24814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24805 and 24814.

How to find the GCF of 24805 and 24814?

We will first find the prime factorization of 24805 and 24814. After we will calculate the factors of 24805 and 24814 and find the biggest common factor number .

Step-1: Prime Factorization of 24805

Prime factors of 24805 are 5, 11, 41. Prime factorization of 24805 in exponential form is:

24805 = 5¹ × 11² × 41¹

Step-2: Prime Factorization of 24814

Prime factors of 24814 are 2, 19, 653. Prime factorization of 24814 in exponential form is:

24814 = 2¹ × 19¹ × 653¹

Step-3: Factors of 24805

List of positive integer factors of 24805 that divides 24805 without a remainder.

1, 5, 11, 41, 55, 121, 205, 451, 605, 2255, 4961

Step-4: Factors of 24814

List of positive integer factors of 24814 that divides 24805 without a remainder.

1, 2, 19, 38, 653, 1306, 12407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24805 and 24814. The biggest common factor number is the GCF number.
So the greatest common factor 24805 and 24814 is 1.

Also check out the Least Common Multiple of 24805 and 24814