What is the Greatest Common Factor of 24744 and 24764?

Greatest common factor (GCF) of 24744 and 24764 is 4.

GCF(24744,24764) = 4

We will now calculate the prime factors of 24744 and 24764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24744 and 24764.

How to find the GCF of 24744 and 24764?

We will first find the prime factorization of 24744 and 24764. After we will calculate the factors of 24744 and 24764 and find the biggest common factor number .

Step-1: Prime Factorization of 24744

Prime factors of 24744 are 2, 3, 1031. Prime factorization of 24744 in exponential form is:

24744 = 2³ × 3¹ × 1031¹

Step-2: Prime Factorization of 24764

Prime factors of 24764 are 2, 41, 151. Prime factorization of 24764 in exponential form is:

24764 = 2² × 41¹ × 151¹

Step-3: Factors of 24744

List of positive integer factors of 24744 that divides 24744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1031, 2062, 3093, 4124, 6186, 8248, 12372

Step-4: Factors of 24764

List of positive integer factors of 24764 that divides 24744 without a remainder.

1, 2, 4, 41, 82, 151, 164, 302, 604, 6191, 12382

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24744 and 24764. The biggest common factor number is the GCF number.
So the greatest common factor 24744 and 24764 is 4.

Also check out the Least Common Multiple of 24744 and 24764