What is the Greatest Common Factor of 30478 and 30494?

Greatest common factor (GCF) of 30478 and 30494 is 2.

GCF(30478,30494) = 2

We will now calculate the prime factors of 30478 and 30494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30478 and 30494.

How to find the GCF of 30478 and 30494?

We will first find the prime factorization of 30478 and 30494. After we will calculate the factors of 30478 and 30494 and find the biggest common factor number .

Step-1: Prime Factorization of 30478

Prime factors of 30478 are 2, 7, 311. Prime factorization of 30478 in exponential form is:

30478 = 2¹ × 7² × 311¹

Step-2: Prime Factorization of 30494

Prime factors of 30494 are 2, 79, 193. Prime factorization of 30494 in exponential form is:

30494 = 2¹ × 79¹ × 193¹

Step-3: Factors of 30478

List of positive integer factors of 30478 that divides 30478 without a remainder.

1, 2, 7, 14, 49, 98, 311, 622, 2177, 4354, 15239

Step-4: Factors of 30494

List of positive integer factors of 30494 that divides 30478 without a remainder.

1, 2, 79, 158, 193, 386, 15247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30478 and 30494. The biggest common factor number is the GCF number.
So the greatest common factor 30478 and 30494 is 2.

Also check out the Least Common Multiple of 30478 and 30494