What is the Greatest Common Factor of 2314 and 2321?

Greatest common factor (GCF) of 2314 and 2321 is 1.

GCF(2314,2321) = 1

We will now calculate the prime factors of 2314 and 2321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2314 and 2321.

How to find the GCF of 2314 and 2321?

We will first find the prime factorization of 2314 and 2321. After we will calculate the factors of 2314 and 2321 and find the biggest common factor number .

Step-1: Prime Factorization of 2314

Prime factors of 2314 are 2, 13, 89. Prime factorization of 2314 in exponential form is:

2314 = 2¹ × 13¹ × 89¹

Step-2: Prime Factorization of 2321

Prime factors of 2321 are 11, 211. Prime factorization of 2321 in exponential form is:

2321 = 11¹ × 211¹

Step-3: Factors of 2314

List of positive integer factors of 2314 that divides 2314 without a remainder.

1, 2, 13, 26, 89, 178, 1157

Step-4: Factors of 2321

List of positive integer factors of 2321 that divides 2314 without a remainder.

1, 11, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2314 and 2321. The biggest common factor number is the GCF number.
So the greatest common factor 2314 and 2321 is 1.

Also check out the Least Common Multiple of 2314 and 2321