What is the Greatest Common Factor of 30258 and 30263?

Greatest common factor (GCF) of 30258 and 30263 is 1.

GCF(30258,30263) = 1

We will now calculate the prime factors of 30258 and 30263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30258 and 30263.

How to find the GCF of 30258 and 30263?

We will first find the prime factorization of 30258 and 30263. After we will calculate the factors of 30258 and 30263 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30263

Prime factors of 30263 are 53, 571. Prime factorization of 30263 in exponential form is:

30263 = 53¹ × 571¹

Step-3: Factors of 30258

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

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

Step-4: Factors of 30263

List of positive integer factors of 30263 that divides 30258 without a remainder.

1, 53, 571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30258 and 30263. The biggest common factor number is the GCF number.
So the greatest common factor 30258 and 30263 is 1.

Also check out the Least Common Multiple of 30258 and 30263