What is the Greatest Common Factor of 2314 and 2330?

Greatest common factor (GCF) of 2314 and 2330 is 2.

GCF(2314,2330) = 2

We will now calculate the prime factors of 2314 and 2330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2314 and 2330.

How to find the GCF of 2314 and 2330?

We will first find the prime factorization of 2314 and 2330. After we will calculate the factors of 2314 and 2330 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 2330

Prime factors of 2330 are 2, 5, 233. Prime factorization of 2330 in exponential form is:

2330 = 2¹ × 5¹ × 233¹

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 2330

List of positive integer factors of 2330 that divides 2314 without a remainder.

1, 2, 5, 10, 233, 466, 1165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2314 and 2330. The biggest common factor number is the GCF number.
So the greatest common factor 2314 and 2330 is 2.

Also check out the Least Common Multiple of 2314 and 2330