What is the Greatest Common Factor of 24723 and 24731?

Greatest common factor (GCF) of 24723 and 24731 is 1.

GCF(24723,24731) = 1

We will now calculate the prime factors of 24723 and 24731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24723 and 24731.

How to find the GCF of 24723 and 24731?

We will first find the prime factorization of 24723 and 24731. After we will calculate the factors of 24723 and 24731 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 24731

Prime factors of 24731 are 7, 3533. Prime factorization of 24731 in exponential form is:

24731 = 7¹ × 3533¹

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 24731

List of positive integer factors of 24731 that divides 24723 without a remainder.

1, 7, 3533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24723 and 24731. The biggest common factor number is the GCF number.
So the greatest common factor 24723 and 24731 is 1.

Also check out the Least Common Multiple of 24723 and 24731