What is the Greatest Common Factor of 30294 and 30298?

Greatest common factor (GCF) of 30294 and 30298 is 2.

GCF(30294,30298) = 2

We will now calculate the prime factors of 30294 and 30298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30294 and 30298.

How to find the GCF of 30294 and 30298?

We will first find the prime factorization of 30294 and 30298. After we will calculate the factors of 30294 and 30298 and find the biggest common factor number .

Step-1: Prime Factorization of 30294

Prime factors of 30294 are 2, 3, 11, 17. Prime factorization of 30294 in exponential form is:

30294 = 2¹ × 3⁴ × 11¹ × 17¹

Step-2: Prime Factorization of 30298

Prime factors of 30298 are 2, 15149. Prime factorization of 30298 in exponential form is:

30298 = 2¹ × 15149¹

Step-3: Factors of 30294

List of positive integer factors of 30294 that divides 30294 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 81, 99, 102, 153, 162, 187, 198, 297, 306, 374, 459, 561, 594, 891, 918, 1122, 1377, 1683, 1782, 2754, 3366, 5049, 10098, 15147

Step-4: Factors of 30298

List of positive integer factors of 30298 that divides 30294 without a remainder.

1, 2, 15149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30294 and 30298. The biggest common factor number is the GCF number.
So the greatest common factor 30294 and 30298 is 2.

Also check out the Least Common Multiple of 30294 and 30298