What is the Greatest Common Factor of 30478 and 30498?

Greatest common factor (GCF) of 30478 and 30498 is 2.

GCF(30478,30498) = 2

We will now calculate the prime factors of 30478 and 30498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30478 and 30498.

How to find the GCF of 30478 and 30498?

We will first find the prime factorization of 30478 and 30498. After we will calculate the factors of 30478 and 30498 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 30498

Prime factors of 30498 are 2, 3, 13, 17, 23. Prime factorization of 30498 in exponential form is:

30498 = 2¹ × 3¹ × 13¹ × 17¹ × 23¹

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 30498

List of positive integer factors of 30498 that divides 30478 without a remainder.

1, 2, 3, 6, 13, 17, 23, 26, 34, 39, 46, 51, 69, 78, 102, 138, 221, 299, 391, 442, 598, 663, 782, 897, 1173, 1326, 1794, 2346, 5083, 10166, 15249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30478 and 30498. The biggest common factor number is the GCF number.
So the greatest common factor 30478 and 30498 is 2.

Also check out the Least Common Multiple of 30478 and 30498