What is the Greatest Common Factor of 30320 and 30331?

Greatest common factor (GCF) of 30320 and 30331 is 1.

GCF(30320,30331) = 1

We will now calculate the prime factors of 30320 and 30331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30320 and 30331.

How to find the GCF of 30320 and 30331?

We will first find the prime factorization of 30320 and 30331. After we will calculate the factors of 30320 and 30331 and find the biggest common factor number .

Step-1: Prime Factorization of 30320

Prime factors of 30320 are 2, 5, 379. Prime factorization of 30320 in exponential form is:

30320 = 2⁴ × 5¹ × 379¹

Step-2: Prime Factorization of 30331

Prime factors of 30331 are 7, 619. Prime factorization of 30331 in exponential form is:

30331 = 7² × 619¹

Step-3: Factors of 30320

List of positive integer factors of 30320 that divides 30320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 379, 758, 1516, 1895, 3032, 3790, 6064, 7580, 15160

Step-4: Factors of 30331

List of positive integer factors of 30331 that divides 30320 without a remainder.

1, 7, 49, 619, 4333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30320 and 30331. The biggest common factor number is the GCF number.
So the greatest common factor 30320 and 30331 is 1.

Also check out the Least Common Multiple of 30320 and 30331