What is the Greatest Common Factor of 23361 and 23369?

Greatest common factor (GCF) of 23361 and 23369 is 1.

GCF(23361,23369) = 1

We will now calculate the prime factors of 23361 and 23369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23361 and 23369.

How to find the GCF of 23361 and 23369?

We will first find the prime factorization of 23361 and 23369. After we will calculate the factors of 23361 and 23369 and find the biggest common factor number .

Step-1: Prime Factorization of 23361

Prime factors of 23361 are 3, 13, 599. Prime factorization of 23361 in exponential form is:

23361 = 3¹ × 13¹ × 599¹

Step-2: Prime Factorization of 23369

Prime factors of 23369 are 23369. Prime factorization of 23369 in exponential form is:

23369 = 23369¹

Step-3: Factors of 23361

List of positive integer factors of 23361 that divides 23361 without a remainder.

1, 3, 13, 39, 599, 1797, 7787

Step-4: Factors of 23369

List of positive integer factors of 23369 that divides 23361 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23361 and 23369. The biggest common factor number is the GCF number.
So the greatest common factor 23361 and 23369 is 1.

Also check out the Least Common Multiple of 23361 and 23369