What is the Greatest Common Factor of 30314 and 30326?

Greatest common factor (GCF) of 30314 and 30326 is 2.

GCF(30314,30326) = 2

We will now calculate the prime factors of 30314 and 30326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30314 and 30326.

How to find the GCF of 30314 and 30326?

We will first find the prime factorization of 30314 and 30326. After we will calculate the factors of 30314 and 30326 and find the biggest common factor number .

Step-1: Prime Factorization of 30314

Prime factors of 30314 are 2, 23, 659. Prime factorization of 30314 in exponential form is:

30314 = 2¹ × 23¹ × 659¹

Step-2: Prime Factorization of 30326

Prime factors of 30326 are 2, 59, 257. Prime factorization of 30326 in exponential form is:

30326 = 2¹ × 59¹ × 257¹

Step-3: Factors of 30314

List of positive integer factors of 30314 that divides 30314 without a remainder.

1, 2, 23, 46, 659, 1318, 15157

Step-4: Factors of 30326

List of positive integer factors of 30326 that divides 30314 without a remainder.

1, 2, 59, 118, 257, 514, 15163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30314 and 30326. The biggest common factor number is the GCF number.
So the greatest common factor 30314 and 30326 is 2.

Also check out the Least Common Multiple of 30314 and 30326