What is the Greatest Common Factor of 24904 and 24914?

Greatest common factor (GCF) of 24904 and 24914 is 2.

GCF(24904,24914) = 2

We will now calculate the prime factors of 24904 and 24914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24904 and 24914.

How to find the GCF of 24904 and 24914?

We will first find the prime factorization of 24904 and 24914. After we will calculate the factors of 24904 and 24914 and find the biggest common factor number .

Step-1: Prime Factorization of 24904

Prime factors of 24904 are 2, 11, 283. Prime factorization of 24904 in exponential form is:

24904 = 2³ × 11¹ × 283¹

Step-2: Prime Factorization of 24914

Prime factors of 24914 are 2, 12457. Prime factorization of 24914 in exponential form is:

24914 = 2¹ × 12457¹

Step-3: Factors of 24904

List of positive integer factors of 24904 that divides 24904 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 283, 566, 1132, 2264, 3113, 6226, 12452

Step-4: Factors of 24914

List of positive integer factors of 24914 that divides 24904 without a remainder.

1, 2, 12457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24904 and 24914. The biggest common factor number is the GCF number.
So the greatest common factor 24904 and 24914 is 2.

Also check out the Least Common Multiple of 24904 and 24914