What is the Greatest Common Factor of 2346 and 2353?

Greatest common factor (GCF) of 2346 and 2353 is 1.

GCF(2346,2353) = 1

We will now calculate the prime factors of 2346 and 2353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2346 and 2353.

How to find the GCF of 2346 and 2353?

We will first find the prime factorization of 2346 and 2353. After we will calculate the factors of 2346 and 2353 and find the biggest common factor number .

Step-1: Prime Factorization of 2346

Prime factors of 2346 are 2, 3, 17, 23. Prime factorization of 2346 in exponential form is:

2346 = 2¹ × 3¹ × 17¹ × 23¹

Step-2: Prime Factorization of 2353

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

2353 = 13¹ × 181¹

Step-3: Factors of 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173

Step-4: Factors of 2353

List of positive integer factors of 2353 that divides 2346 without a remainder.

1, 13, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2346 and 2353. The biggest common factor number is the GCF number.
So the greatest common factor 2346 and 2353 is 1.

Also check out the Least Common Multiple of 2346 and 2353