What is the Greatest Common Factor of 24896 and 24909?

Greatest common factor (GCF) of 24896 and 24909 is 1.

GCF(24896,24909) = 1

We will now calculate the prime factors of 24896 and 24909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24896 and 24909.

How to find the GCF of 24896 and 24909?

We will first find the prime factorization of 24896 and 24909. After we will calculate the factors of 24896 and 24909 and find the biggest common factor number .

Step-1: Prime Factorization of 24896

Prime factors of 24896 are 2, 389. Prime factorization of 24896 in exponential form is:

24896 = 2⁶ × 389¹

Step-2: Prime Factorization of 24909

Prime factors of 24909 are 3, 19, 23. Prime factorization of 24909 in exponential form is:

24909 = 3¹ × 19² × 23¹

Step-3: Factors of 24896

List of positive integer factors of 24896 that divides 24896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 389, 778, 1556, 3112, 6224, 12448

Step-4: Factors of 24909

List of positive integer factors of 24909 that divides 24896 without a remainder.

1, 3, 19, 23, 57, 69, 361, 437, 1083, 1311, 8303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24896 and 24909. The biggest common factor number is the GCF number.
So the greatest common factor 24896 and 24909 is 1.

Also check out the Least Common Multiple of 24896 and 24909