What is the Greatest Common Factor of 319 and 330?

Greatest common factor (GCF) of 319 and 330 is 11.

GCF(319,330) = 11

We will now calculate the prime factors of 319 and 330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 319 and 330.

How to find the GCF of 319 and 330?

We will first find the prime factorization of 319 and 330. After we will calculate the factors of 319 and 330 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 330

Prime factors of 330 are 2, 3, 5, 11. Prime factorization of 330 in exponential form is:

330 = 2¹ × 3¹ × 5¹ × 11¹

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 330

List of positive integer factors of 330 that divides 319 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 319 and 330. The biggest common factor number is the GCF number.
So the greatest common factor 319 and 330 is 11.

Also check out the Least Common Multiple of 319 and 330