What is the Greatest Common Factor of 331 and 341?

Greatest common factor (GCF) of 331 and 341 is 1.

GCF(331,341) = 1

We will now calculate the prime factors of 331 and 341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 331 and 341.

How to find the GCF of 331 and 341?

We will first find the prime factorization of 331 and 341. After we will calculate the factors of 331 and 341 and find the biggest common factor number .

Step-1: Prime Factorization of 331

Prime factors of 331 are 331. Prime factorization of 331 in exponential form is:

331 = 331¹

Step-2: Prime Factorization of 341

Prime factors of 341 are 11, 31. Prime factorization of 341 in exponential form is:

341 = 11¹ × 31¹

Step-3: Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

Step-4: Factors of 341

List of positive integer factors of 341 that divides 331 without a remainder.

1, 11, 31

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 331 and 341. The biggest common factor number is the GCF number.
So the greatest common factor 331 and 341 is 1.

Also check out the Least Common Multiple of 331 and 341