What is the Greatest Common Factor of 30238 and 30251?

Greatest common factor (GCF) of 30238 and 30251 is 13.

GCF(30238,30251) = 13

We will now calculate the prime factors of 30238 and 30251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30238 and 30251.

How to find the GCF of 30238 and 30251?

We will first find the prime factorization of 30238 and 30251. After we will calculate the factors of 30238 and 30251 and find the biggest common factor number .

Step-1: Prime Factorization of 30238

Prime factors of 30238 are 2, 13, 1163. Prime factorization of 30238 in exponential form is:

30238 = 2¹ × 13¹ × 1163¹

Step-2: Prime Factorization of 30251

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

30251 = 13² × 179¹

Step-3: Factors of 30238

List of positive integer factors of 30238 that divides 30238 without a remainder.

1, 2, 13, 26, 1163, 2326, 15119

Step-4: Factors of 30251

List of positive integer factors of 30251 that divides 30238 without a remainder.

1, 13, 169, 179, 2327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30238 and 30251. The biggest common factor number is the GCF number.
So the greatest common factor 30238 and 30251 is 13.

Also check out the Least Common Multiple of 30238 and 30251