What is the Greatest Common Factor of 23361 and 23380?

Greatest common factor (GCF) of 23361 and 23380 is 1.

GCF(23361,23380) = 1

We will now calculate the prime factors of 23361 and 23380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23361 and 23380.

How to find the GCF of 23361 and 23380?

We will first find the prime factorization of 23361 and 23380. After we will calculate the factors of 23361 and 23380 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 23380

Prime factors of 23380 are 2, 5, 7, 167. Prime factorization of 23380 in exponential form is:

23380 = 2² × 5¹ × 7¹ × 167¹

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 23380

List of positive integer factors of 23380 that divides 23361 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23361 and 23380. The biggest common factor number is the GCF number.
So the greatest common factor 23361 and 23380 is 1.

Also check out the Least Common Multiple of 23361 and 23380