What is the Greatest Common Factor of 341 and 361?

Greatest common factor (GCF) of 341 and 361 is 1.

GCF(341,361) = 1

We will now calculate the prime factors of 341 and 361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 341 and 361.

How to find the GCF of 341 and 361?

We will first find the prime factorization of 341 and 361. After we will calculate the factors of 341 and 361 and find the biggest common factor number .

Step-1: Prime Factorization of 341

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

341 = 11¹ × 31¹

Step-2: Prime Factorization of 361

Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:

361 = 19²

Step-3: Factors of 341

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

1, 11, 31

Step-4: Factors of 361

List of positive integer factors of 361 that divides 341 without a remainder.

1, 19

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 341 and 361. The biggest common factor number is the GCF number.
So the greatest common factor 341 and 361 is 1.

Also check out the Least Common Multiple of 341 and 361