What is the Greatest Common Factor of 30221 and 30231?

Greatest common factor (GCF) of 30221 and 30231 is 1.

GCF(30221,30231) = 1

We will now calculate the prime factors of 30221 and 30231, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30221 and 30231.

How to find the GCF of 30221 and 30231?

We will first find the prime factorization of 30221 and 30231. After we will calculate the factors of 30221 and 30231 and find the biggest common factor number .

Step-1: Prime Factorization of 30221

Prime factors of 30221 are 47, 643. Prime factorization of 30221 in exponential form is:

30221 = 47¹ × 643¹

Step-2: Prime Factorization of 30231

Prime factors of 30231 are 3, 3359. Prime factorization of 30231 in exponential form is:

30231 = 3² × 3359¹

Step-3: Factors of 30221

List of positive integer factors of 30221 that divides 30221 without a remainder.

1, 47, 643

Step-4: Factors of 30231

List of positive integer factors of 30231 that divides 30221 without a remainder.

1, 3, 9, 3359, 10077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30221 and 30231. The biggest common factor number is the GCF number.
So the greatest common factor 30221 and 30231 is 1.

Also check out the Least Common Multiple of 30221 and 30231