What is the Greatest Common Factor of 30294 and 30313?

Greatest common factor (GCF) of 30294 and 30313 is 1.

GCF(30294,30313) = 1

We will now calculate the prime factors of 30294 and 30313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30294 and 30313.

How to find the GCF of 30294 and 30313?

We will first find the prime factorization of 30294 and 30313. After we will calculate the factors of 30294 and 30313 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 30313

Prime factors of 30313 are 30313. Prime factorization of 30313 in exponential form is:

30313 = 30313¹

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 30313

List of positive integer factors of 30313 that divides 30294 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30294 and 30313. The biggest common factor number is the GCF number.
So the greatest common factor 30294 and 30313 is 1.

Also check out the Least Common Multiple of 30294 and 30313