What is the Greatest Common Factor of 30335 and 30346?

Greatest common factor (GCF) of 30335 and 30346 is 1.

GCF(30335,30346) = 1

We will now calculate the prime factors of 30335 and 30346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30335 and 30346.

How to find the GCF of 30335 and 30346?

We will first find the prime factorization of 30335 and 30346. After we will calculate the factors of 30335 and 30346 and find the biggest common factor number .

Step-1: Prime Factorization of 30335

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

30335 = 5¹ × 6067¹

Step-2: Prime Factorization of 30346

Prime factors of 30346 are 2, 15173. Prime factorization of 30346 in exponential form is:

30346 = 2¹ × 15173¹

Step-3: Factors of 30335

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

1, 5, 6067

Step-4: Factors of 30346

List of positive integer factors of 30346 that divides 30335 without a remainder.

1, 2, 15173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30335 and 30346. The biggest common factor number is the GCF number.
So the greatest common factor 30335 and 30346 is 1.

Also check out the Least Common Multiple of 30335 and 30346