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 325, 326 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 325 and 326 is 1.
GCF(325,326) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 325
5 | 325 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:
325 = 52×131
Prime Factorization of 326
2 | 326 |
163 | 163 |
1 |
Prime factors of 326 are 2,163. Prime factorization of 326 in exponential form is:
326 = 21×1631
∴ So by taking common prime factors GCF of 325 and 326 is 1
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors and prime factorization of 325 and 326. The biggest common factor number is the GCF number.
So the greatest common factor 325 and 326 is 1.
Also check out the Least Common Multiple of 325 and 326
(i) The GCF of 325 and 326 is associative
GCF of 325 and 326 = GCF of 326 and 325
1. What is the GCF of 325 and 326?
Answer: GCF of 325 and 326 is 1.
2. What are the Factors of 325?
Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.
3. What are the Factors of 326?
Answer: Factors of 326 are 1, 2, 163, 326. There are 4 integers that are factors of 326. The greatest factor of 326 is 326.
4. How to Find the GCF of 325 and 326?
Answer:
Greatest Common Factor of 325 and 326 = 1
Step 1: Find the prime factorization of 325
325 = 5 x 5 x 13
Step 2: Find the prime factorization of 326
326 = 2 x 163
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 325 and 326 is 1