What is the Greatest Common Factor of 24741 and 24756?

Greatest common factor (GCF) of 24741 and 24756 is 3.

GCF(24741,24756) = 3

We will now calculate the prime factors of 24741 and 24756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24741 and 24756.

How to find the GCF of 24741 and 24756?

We will first find the prime factorization of 24741 and 24756. After we will calculate the factors of 24741 and 24756 and find the biggest common factor number .

Step-1: Prime Factorization of 24741

Prime factors of 24741 are 3, 2749. Prime factorization of 24741 in exponential form is:

24741 = 3² × 2749¹

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 24741

List of positive integer factors of 24741 that divides 24741 without a remainder.

1, 3, 9, 2749, 8247

Step-4: Factors of 24756

List of positive integer factors of 24756 that divides 24741 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 24741 and 24756. The biggest common factor number is the GCF number.
So the greatest common factor 24741 and 24756 is 3.

Also check out the Least Common Multiple of 24741 and 24756