What is the Greatest Common Factor of 24744 and 24756?

Greatest common factor (GCF) of 24744 and 24756 is 12.

GCF(24744,24756) = 12

We will now calculate the prime factors of 24744 and 24756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24744 and 24756.

How to find the GCF of 24744 and 24756?

We will first find the prime factorization of 24744 and 24756. After we will calculate the factors of 24744 and 24756 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 24756

Prime factors of 24756 are 2, 3, 2063. Prime factorization of 24756 in exponential form is:

24756 = 2² × 3¹ × 2063¹

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 24756

List of positive integer factors of 24756 that divides 24744 without a remainder.

1, 2, 3, 4, 6, 12, 2063, 4126, 6189, 8252, 12378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24744 and 24756. The biggest common factor number is the GCF number.
So the greatest common factor 24744 and 24756 is 12.

Also check out the Least Common Multiple of 24744 and 24756