What is the Greatest Common Factor of 30321 and 30335?

Greatest common factor (GCF) of 30321 and 30335 is 1.

GCF(30321,30335) = 1

We will now calculate the prime factors of 30321 and 30335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30321 and 30335.

How to find the GCF of 30321 and 30335?

We will first find the prime factorization of 30321 and 30335. After we will calculate the factors of 30321 and 30335 and find the biggest common factor number .

Step-1: Prime Factorization of 30321

Prime factors of 30321 are 3, 1123. Prime factorization of 30321 in exponential form is:

30321 = 3³ × 1123¹

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 30321

List of positive integer factors of 30321 that divides 30321 without a remainder.

1, 3, 9, 27, 1123, 3369, 10107

Step-4: Factors of 30335

List of positive integer factors of 30335 that divides 30321 without a remainder.

1, 5, 6067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30321 and 30335. The biggest common factor number is the GCF number.
So the greatest common factor 30321 and 30335 is 1.

Also check out the Least Common Multiple of 30321 and 30335