What is the Greatest Common Factor of 30248 and 30257?

Greatest common factor (GCF) of 30248 and 30257 is 1.

GCF(30248,30257) = 1

We will now calculate the prime factors of 30248 and 30257, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30248 and 30257.

How to find the GCF of 30248 and 30257?

We will first find the prime factorization of 30248 and 30257. After we will calculate the factors of 30248 and 30257 and find the biggest common factor number .

Step-1: Prime Factorization of 30248

Prime factors of 30248 are 2, 19, 199. Prime factorization of 30248 in exponential form is:

30248 = 2³ × 19¹ × 199¹

Step-2: Prime Factorization of 30257

Prime factors of 30257 are 79, 383. Prime factorization of 30257 in exponential form is:

30257 = 79¹ × 383¹

Step-3: Factors of 30248

List of positive integer factors of 30248 that divides 30248 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 199, 398, 796, 1592, 3781, 7562, 15124

Step-4: Factors of 30257

List of positive integer factors of 30257 that divides 30248 without a remainder.

1, 79, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30248 and 30257. The biggest common factor number is the GCF number.
So the greatest common factor 30248 and 30257 is 1.

Also check out the Least Common Multiple of 30248 and 30257