What is the Greatest Common Factor of 30306 and 30326?

Greatest common factor (GCF) of 30306 and 30326 is 2.

GCF(30306,30326) = 2

We will now calculate the prime factors of 30306 and 30326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30306 and 30326.

How to find the GCF of 30306 and 30326?

We will first find the prime factorization of 30306 and 30326. After we will calculate the factors of 30306 and 30326 and find the biggest common factor number .

Step-1: Prime Factorization of 30306

Prime factors of 30306 are 2, 3, 5051. Prime factorization of 30306 in exponential form is:

30306 = 2¹ × 3¹ × 5051¹

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 30306

List of positive integer factors of 30306 that divides 30306 without a remainder.

1, 2, 3, 6, 5051, 10102, 15153

Step-4: Factors of 30326

List of positive integer factors of 30326 that divides 30306 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30306 and 30326. The biggest common factor number is the GCF number.
So the greatest common factor 30306 and 30326 is 2.

Also check out the Least Common Multiple of 30306 and 30326