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, 332 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 327 and 332 is 1.
GCF(327,332) = 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 332
2 | 332 |
2 | 166 |
83 | 83 |
1 |
Prime factors of 332 are 2,83. Prime factorization of 332 in exponential form is:
332 = 22×831
∴ So by taking common prime factors GCF of 327 and 332 is 1
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors and prime factorization of 327 and 332. The biggest common factor number is the GCF number.
So the greatest common factor 327 and 332 is 1.
Also check out the Least Common Multiple of 327 and 332
(i) The GCF of 327 and 332 is associative
GCF of 327 and 332 = GCF of 332 and 327
1. What is the GCF of 327 and 332?
Answer: GCF of 327 and 332 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 332?
Answer: Factors of 332 are 1, 2, 4, 83, 166, 332. There are 6 integers that are factors of 332. The greatest factor of 332 is 332.
4. How to Find the GCF of 327 and 332?
Answer:
Greatest Common Factor of 327 and 332 = 1
Step 1: Find the prime factorization of 327
327 = 3 x 109
Step 2: Find the prime factorization of 332
332 = 2 x 2 x 83
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 332 is 1