What is the Greatest Common Factor of 24723 and 24735?

Greatest common factor (GCF) of 24723 and 24735 is 3.

GCF(24723,24735) = 3

We will now calculate the prime factors of 24723 and 24735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24723 and 24735.

How to find the GCF of 24723 and 24735?

We will first find the prime factorization of 24723 and 24735. After we will calculate the factors of 24723 and 24735 and find the biggest common factor number .

Step-1: Prime Factorization of 24723

Prime factors of 24723 are 3, 41, 67. Prime factorization of 24723 in exponential form is:

24723 = 3² × 41¹ × 67¹

Step-2: Prime Factorization of 24735

Prime factors of 24735 are 3, 5, 17, 97. Prime factorization of 24735 in exponential form is:

24735 = 3¹ × 5¹ × 17¹ × 97¹

Step-3: Factors of 24723

List of positive integer factors of 24723 that divides 24723 without a remainder.

1, 3, 9, 41, 67, 123, 201, 369, 603, 2747, 8241

Step-4: Factors of 24735

List of positive integer factors of 24735 that divides 24723 without a remainder.

1, 3, 5, 15, 17, 51, 85, 97, 255, 291, 485, 1455, 1649, 4947, 8245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24723 and 24735. The biggest common factor number is the GCF number.
So the greatest common factor 24723 and 24735 is 3.

Also check out the Least Common Multiple of 24723 and 24735