What is the Greatest Common Factor of 30334 and 30341?

Greatest common factor (GCF) of 30334 and 30341 is 1.

GCF(30334,30341) = 1

We will now calculate the prime factors of 30334 and 30341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30334 and 30341.

How to find the GCF of 30334 and 30341?

We will first find the prime factorization of 30334 and 30341. After we will calculate the factors of 30334 and 30341 and find the biggest common factor number .

Step-1: Prime Factorization of 30334

Prime factors of 30334 are 2, 29, 523. Prime factorization of 30334 in exponential form is:

30334 = 2¹ × 29¹ × 523¹

Step-2: Prime Factorization of 30341

Prime factors of 30341 are 30341. Prime factorization of 30341 in exponential form is:

30341 = 30341¹

Step-3: Factors of 30334

List of positive integer factors of 30334 that divides 30334 without a remainder.

1, 2, 29, 58, 523, 1046, 15167

Step-4: Factors of 30341

List of positive integer factors of 30341 that divides 30334 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30334 and 30341. The biggest common factor number is the GCF number.
So the greatest common factor 30334 and 30341 is 1.

Also check out the Least Common Multiple of 30334 and 30341