What is the Greatest Common Factor of 23313 and 23322?

Greatest common factor (GCF) of 23313 and 23322 is 3.

GCF(23313,23322) = 3

We will now calculate the prime factors of 23313 and 23322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23313 and 23322.

How to find the GCF of 23313 and 23322?

We will first find the prime factorization of 23313 and 23322. After we will calculate the factors of 23313 and 23322 and find the biggest common factor number .

Step-1: Prime Factorization of 23313

Prime factors of 23313 are 3, 19, 409. Prime factorization of 23313 in exponential form is:

23313 = 3¹ × 19¹ × 409¹

Step-2: Prime Factorization of 23322

Prime factors of 23322 are 2, 3, 13, 23. Prime factorization of 23322 in exponential form is:

23322 = 2¹ × 3¹ × 13² × 23¹

Step-3: Factors of 23313

List of positive integer factors of 23313 that divides 23313 without a remainder.

1, 3, 19, 57, 409, 1227, 7771

Step-4: Factors of 23322

List of positive integer factors of 23322 that divides 23313 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 169, 299, 338, 507, 598, 897, 1014, 1794, 3887, 7774, 11661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23313 and 23322. The biggest common factor number is the GCF number.
So the greatest common factor 23313 and 23322 is 3.

Also check out the Least Common Multiple of 23313 and 23322