What is the Greatest Common Factor of 24914 and 24932?

Greatest common factor (GCF) of 24914 and 24932 is 2.

GCF(24914,24932) = 2

We will now calculate the prime factors of 24914 and 24932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24914 and 24932.

How to find the GCF of 24914 and 24932?

We will first find the prime factorization of 24914 and 24932. After we will calculate the factors of 24914 and 24932 and find the biggest common factor number .

Step-1: Prime Factorization of 24914

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

24914 = 2¹ × 12457¹

Step-2: Prime Factorization of 24932

Prime factors of 24932 are 2, 23, 271. Prime factorization of 24932 in exponential form is:

24932 = 2² × 23¹ × 271¹

Step-3: Factors of 24914

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

1, 2, 12457

Step-4: Factors of 24932

List of positive integer factors of 24932 that divides 24914 without a remainder.

1, 2, 4, 23, 46, 92, 271, 542, 1084, 6233, 12466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24914 and 24932. The biggest common factor number is the GCF number.
So the greatest common factor 24914 and 24932 is 2.

Also check out the Least Common Multiple of 24914 and 24932