What is the Greatest Common Factor of 30331 and 30335?

Greatest common factor (GCF) of 30331 and 30335 is 1.

GCF(30331,30335) = 1

We will now calculate the prime factors of 30331 and 30335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30331 and 30335.

How to find the GCF of 30331 and 30335?

We will first find the prime factorization of 30331 and 30335. After we will calculate the factors of 30331 and 30335 and find the biggest common factor number .

Step-1: Prime Factorization of 30331

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

30331 = 7² × 619¹

Step-2: Prime Factorization of 30335

Prime factors of 30335 are 5, 6067. Prime factorization of 30335 in exponential form is:

30335 = 5¹ × 6067¹

Step-3: Factors of 30331

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

1, 7, 49, 619, 4333

Step-4: Factors of 30335

List of positive integer factors of 30335 that divides 30331 without a remainder.

1, 5, 6067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30331 and 30335. The biggest common factor number is the GCF number.
So the greatest common factor 30331 and 30335 is 1.

Also check out the Least Common Multiple of 30331 and 30335