What is the Greatest Common Factor of 2305 and 2316?

Greatest common factor (GCF) of 2305 and 2316 is 1.

GCF(2305,2316) = 1

We will now calculate the prime factors of 2305 and 2316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2305 and 2316.

How to find the GCF of 2305 and 2316?

We will first find the prime factorization of 2305 and 2316. After we will calculate the factors of 2305 and 2316 and find the biggest common factor number .

Step-1: Prime Factorization of 2305

Prime factors of 2305 are 5, 461. Prime factorization of 2305 in exponential form is:

2305 = 5¹ × 461¹

Step-2: Prime Factorization of 2316

Prime factors of 2316 are 2, 3, 193. Prime factorization of 2316 in exponential form is:

2316 = 2² × 3¹ × 193¹

Step-3: Factors of 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1, 5, 461

Step-4: Factors of 2316

List of positive integer factors of 2316 that divides 2305 without a remainder.

1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2305 and 2316. The biggest common factor number is the GCF number.
So the greatest common factor 2305 and 2316 is 1.

Also check out the Least Common Multiple of 2305 and 2316