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 327, 334 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 327 and 334 is 1.
GCF(327,334) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 334
2 | 334 |
167 | 167 |
1 |
Prime factors of 334 are 2,167. Prime factorization of 334 in exponential form is:
334 = 21×1671
∴ So by taking common prime factors GCF of 327 and 334 is 1
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors and prime factorization of 327 and 334. The biggest common factor number is the GCF number.
So the greatest common factor 327 and 334 is 1.
Also check out the Least Common Multiple of 327 and 334
(i) The GCF of 327 and 334 is associative
GCF of 327 and 334 = GCF of 334 and 327
1. What is the GCF of 327 and 334?
Answer: GCF of 327 and 334 is 1.
2. 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.
3. What are the Factors of 334?
Answer: Factors of 334 are 1, 2, 167, 334. There are 4 integers that are factors of 334. The greatest factor of 334 is 334.
4. How to Find the GCF of 327 and 334?
Answer:
Greatest Common Factor of 327 and 334 = 1
Step 1: Find the prime factorization of 327
327 = 3 x 109
Step 2: Find the prime factorization of 334
334 = 2 x 167
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 327 and 334 is 1