Greatest Common Factor of 319 and 327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 319, 327 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 319 and 327 is 1.

GCF(319,327) = 1

GCF of 319 and 327

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 319 and 327

GCF of 319 and 327 is 1

Prime Factorization of 319


11 319
29 29
1

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

319 = 111×291

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

∴ So by taking common prime factors GCF of 319 and 327 is 1

Greatest Common Factor of 319 and 327 by matching factors method

Factors of 319

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

1,11,29,319

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors and prime factorization of 319 and 327. The biggest common factor number is the GCF number.
So the greatest common factor 319 and 327 is 1.

Also check out the Least Common Multiple of 319 and 327

Properties of GCF 319 and 327

(i) The GCF of 319 and 327 is associative

GCF of 319 and 327 = GCF of 327 and 319

Related Greatest Common Factor of 319

Related Greatest Common Factor of 327

Frequently Asked Questions on GCF of 319 and 327

1. What is the GCF of 319 and 327?

Answer: GCF of 319 and 327 is 1.

2. What are the Factors of 319?

Answer: Factors of 319 are 1, 11, 29, 319. There are 4 integers that are factors of 319. The greatest factor of 319 is 319.

3. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. How to Find the GCF of 319 and 327?

Answer:

Greatest Common Factor of 319 and 327 = 1

Step 1: Find the prime factorization of 319

319 = 11 x 29

Step 2: Find the prime factorization of 327

327 = 3 x 109

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 319 and 327 is 1