What is the Greatest Common Factor of 30294 and 30302?

Greatest common factor (GCF) of 30294 and 30302 is 2.

GCF(30294,30302) = 2

We will now calculate the prime factors of 30294 and 30302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30294 and 30302.

How to find the GCF of 30294 and 30302?

We will first find the prime factorization of 30294 and 30302. After we will calculate the factors of 30294 and 30302 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 30302

Prime factors of 30302 are 2, 109, 139. Prime factorization of 30302 in exponential form is:

30302 = 2¹ × 109¹ × 139¹

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 30302

List of positive integer factors of 30302 that divides 30294 without a remainder.

1, 2, 109, 139, 218, 278, 15151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30294 and 30302. The biggest common factor number is the GCF number.
So the greatest common factor 30294 and 30302 is 2.

Also check out the Least Common Multiple of 30294 and 30302