What is the Greatest Common Factor of 30251 and 30258?

Greatest common factor (GCF) of 30251 and 30258 is 1.

GCF(30251,30258) = 1

We will now calculate the prime factors of 30251 and 30258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30251 and 30258.

How to find the GCF of 30251 and 30258?

We will first find the prime factorization of 30251 and 30258. After we will calculate the factors of 30251 and 30258 and find the biggest common factor number .

Step-1: Prime Factorization of 30251

Prime factors of 30251 are 13, 179. Prime factorization of 30251 in exponential form is:

30251 = 13² × 179¹

Step-2: Prime Factorization of 30258

Prime factors of 30258 are 2, 3, 41. Prime factorization of 30258 in exponential form is:

30258 = 2¹ × 3² × 41²

Step-3: Factors of 30251

List of positive integer factors of 30251 that divides 30251 without a remainder.

1, 13, 169, 179, 2327

Step-4: Factors of 30258

List of positive integer factors of 30258 that divides 30251 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738, 1681, 3362, 5043, 10086, 15129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30251 and 30258. The biggest common factor number is the GCF number.
So the greatest common factor 30251 and 30258 is 1.

Also check out the Least Common Multiple of 30251 and 30258