What is the Greatest Common Factor of 2353 and 2366?

Greatest common factor (GCF) of 2353 and 2366 is 13.

GCF(2353,2366) = 13

We will now calculate the prime factors of 2353 and 2366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2353 and 2366.

How to find the GCF of 2353 and 2366?

We will first find the prime factorization of 2353 and 2366. After we will calculate the factors of 2353 and 2366 and find the biggest common factor number .

Step-1: Prime Factorization of 2353

Prime factors of 2353 are 13, 181. Prime factorization of 2353 in exponential form is:

2353 = 13¹ × 181¹

Step-2: Prime Factorization of 2366

Prime factors of 2366 are 2, 7, 13. Prime factorization of 2366 in exponential form is:

2366 = 2¹ × 7¹ × 13²

Step-3: Factors of 2353

List of positive integer factors of 2353 that divides 2353 without a remainder.

1, 13, 181

Step-4: Factors of 2366

List of positive integer factors of 2366 that divides 2353 without a remainder.

1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2353 and 2366. The biggest common factor number is the GCF number.
So the greatest common factor 2353 and 2366 is 13.

Also check out the Least Common Multiple of 2353 and 2366