What is the Greatest Common Factor of 319 and 334?

Greatest common factor (GCF) of 319 and 334 is 1.

GCF(319,334) = 1

We will now calculate the prime factors of 319 and 334, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 319 and 334.

How to find the GCF of 319 and 334?

We will first find the prime factorization of 319 and 334. After we will calculate the factors of 319 and 334 and find the biggest common factor number .

Step-1: Prime Factorization of 319

Prime factors of 319 are 11, 29. Prime factorization of 319 in exponential form is:

319 = 11¹ × 29¹

Step-2: Prime Factorization of 334

Prime factors of 334 are 2, 167. Prime factorization of 334 in exponential form is:

334 = 2¹ × 167¹

Step-3: Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1, 11, 29

Step-4: Factors of 334

List of positive integer factors of 334 that divides 319 without a remainder.

1, 2, 167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 319 and 334. The biggest common factor number is the GCF number.
So the greatest common factor 319 and 334 is 1.

Also check out the Least Common Multiple of 319 and 334