What is the Greatest Common Factor of 23313 and 23332?

Greatest common factor (GCF) of 23313 and 23332 is 19.

GCF(23313,23332) = 19

We will now calculate the prime factors of 23313 and 23332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23313 and 23332.

How to find the GCF of 23313 and 23332?

We will first find the prime factorization of 23313 and 23332. After we will calculate the factors of 23313 and 23332 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 23332

Prime factors of 23332 are 2, 19, 307. Prime factorization of 23332 in exponential form is:

23332 = 2² × 19¹ × 307¹

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 23332

List of positive integer factors of 23332 that divides 23313 without a remainder.

1, 2, 4, 19, 38, 76, 307, 614, 1228, 5833, 11666

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23313 and 23332. The biggest common factor number is the GCF number.
So the greatest common factor 23313 and 23332 is 19.

Also check out the Least Common Multiple of 23313 and 23332