What is the Greatest Common Factor of 30294 and 30308?

Greatest common factor (GCF) of 30294 and 30308 is 2.

GCF(30294,30308) = 2

We will now calculate the prime factors of 30294 and 30308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30294 and 30308.

How to find the GCF of 30294 and 30308?

We will first find the prime factorization of 30294 and 30308. After we will calculate the factors of 30294 and 30308 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 30308

Prime factors of 30308 are 2, 7577. Prime factorization of 30308 in exponential form is:

30308 = 2² × 7577¹

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 30308

List of positive integer factors of 30308 that divides 30294 without a remainder.

1, 2, 4, 7577, 15154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30294 and 30308. The biggest common factor number is the GCF number.
So the greatest common factor 30294 and 30308 is 2.

Also check out the Least Common Multiple of 30294 and 30308