What is the Greatest Common Factor of 24705 and 24723?

Greatest common factor (GCF) of 24705 and 24723 is 9.

GCF(24705,24723) = 9

We will now calculate the prime factors of 24705 and 24723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24705 and 24723.

How to find the GCF of 24705 and 24723?

We will first find the prime factorization of 24705 and 24723. After we will calculate the factors of 24705 and 24723 and find the biggest common factor number .

Step-1: Prime Factorization of 24705

Prime factors of 24705 are 3, 5, 61. Prime factorization of 24705 in exponential form is:

24705 = 3⁴ × 5¹ × 61¹

Step-2: 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-3: Factors of 24705

List of positive integer factors of 24705 that divides 24705 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 81, 135, 183, 305, 405, 549, 915, 1647, 2745, 4941, 8235

Step-4: Factors of 24723

List of positive integer factors of 24723 that divides 24705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24705 and 24723. The biggest common factor number is the GCF number.
So the greatest common factor 24705 and 24723 is 9.

Also check out the Least Common Multiple of 24705 and 24723