What is the Greatest Common Factor of 30478 and 30492?

Greatest common factor (GCF) of 30478 and 30492 is 14.

GCF(30478,30492) = 14

We will now calculate the prime factors of 30478 and 30492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30478 and 30492.

How to find the GCF of 30478 and 30492?

We will first find the prime factorization of 30478 and 30492. After we will calculate the factors of 30478 and 30492 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 30492

Prime factors of 30492 are 2, 3, 7, 11. Prime factorization of 30492 in exponential form is:

30492 = 2² × 3² × 7¹ × 11²

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 30492

List of positive integer factors of 30492 that divides 30478 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 121, 126, 132, 154, 198, 231, 242, 252, 308, 363, 396, 462, 484, 693, 726, 847, 924, 1089, 1386, 1452, 1694, 2178, 2541, 2772, 3388, 4356, 5082, 7623, 10164, 15246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30478 and 30492. The biggest common factor number is the GCF number.
So the greatest common factor 30478 and 30492 is 14.

Also check out the Least Common Multiple of 30478 and 30492