What is the Greatest Common Factor of 22723 and 22740?

Greatest common factor (GCF) of 22723 and 22740 is 1.

GCF(22723,22740) = 1

We will now calculate the prime factors of 22723 and 22740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22723 and 22740.

How to find the GCF of 22723 and 22740?

We will first find the prime factorization of 22723 and 22740. After we will calculate the factors of 22723 and 22740 and find the biggest common factor number .

Step-1: Prime Factorization of 22723

Prime factors of 22723 are 31, 733. Prime factorization of 22723 in exponential form is:

22723 = 31¹ × 733¹

Step-2: Prime Factorization of 22740

Prime factors of 22740 are 2, 3, 5, 379. Prime factorization of 22740 in exponential form is:

22740 = 2² × 3¹ × 5¹ × 379¹

Step-3: Factors of 22723

List of positive integer factors of 22723 that divides 22723 without a remainder.

1, 31, 733

Step-4: Factors of 22740

List of positive integer factors of 22740 that divides 22723 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 379, 758, 1137, 1516, 1895, 2274, 3790, 4548, 5685, 7580, 11370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22723 and 22740. The biggest common factor number is the GCF number.
So the greatest common factor 22723 and 22740 is 1.

Also check out the Least Common Multiple of 22723 and 22740