What is the Greatest Common Factor of 23355 and 23361?

Greatest common factor (GCF) of 23355 and 23361 is 3.

GCF(23355,23361) = 3

We will now calculate the prime factors of 23355 and 23361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23355 and 23361.

How to find the GCF of 23355 and 23361?

We will first find the prime factorization of 23355 and 23361. After we will calculate the factors of 23355 and 23361 and find the biggest common factor number .

Step-1: Prime Factorization of 23355

Prime factors of 23355 are 3, 5, 173. Prime factorization of 23355 in exponential form is:

23355 = 3³ × 5¹ × 173¹

Step-2: 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-3: Factors of 23355

List of positive integer factors of 23355 that divides 23355 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 173, 519, 865, 1557, 2595, 4671, 7785

Step-4: Factors of 23361

List of positive integer factors of 23361 that divides 23355 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23355 and 23361. The biggest common factor number is the GCF number.
So the greatest common factor 23355 and 23361 is 3.

Also check out the Least Common Multiple of 23355 and 23361