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 321460, 321461 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 321460 and 321461 is 1.
GCF(321460,321461) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 321460
2 | 321460 |
2 | 160730 |
5 | 80365 |
16073 | 16073 |
1 |
Prime factors of 321460 are 2,5,16073. Prime factorization of 321460 in exponential form is:
321460 = 22×51×160731
Prime Factorization of 321461
7 | 321461 |
19 | 45923 |
2417 | 2417 |
1 |
Prime factors of 321461 are 7,19,2417. Prime factorization of 321461 in exponential form is:
321461 = 71×191×24171
∴ So by taking common prime factors GCF of 321460 and 321461 is 1
Factors of 321460
List of positive integer factors of 321460 that divides 321460 without a remainder.
1,2,4,5,10,20,16073,32146,64292,80365,160730,321460
Factors of 321461
List of positive integer factors of 321461 that divides 321461 without a remainder.
1,7,19,133,2417,16919,45923,321461
Greatest Common Factor
We found the factors and prime factorization of 321460 and 321461. The biggest common factor number is the GCF number.
So the greatest common factor 321460 and 321461 is 1.
Also check out the Least Common Multiple of 321460 and 321461
(i) The GCF of 321460 and 321461 is associative
GCF of 321460 and 321461 = GCF of 321461 and 321460
1. What is the GCF of 321460 and 321461?
Answer: GCF of 321460 and 321461 is 1.
2. What are the Factors of 321460?
Answer: Factors of 321460 are 1, 2, 4, 5, 10, 20, 16073, 32146, 64292, 80365, 160730, 321460. There are 12 integers that are factors of 321460. The greatest factor of 321460 is 321460.
3. What are the Factors of 321461?
Answer: Factors of 321461 are 1, 7, 19, 133, 2417, 16919, 45923, 321461. There are 8 integers that are factors of 321461. The greatest factor of 321461 is 321461.
4. How to Find the GCF of 321460 and 321461?
Answer:
Greatest Common Factor of 321460 and 321461 = 1
Step 1: Find the prime factorization of 321460
321460 = 2 x 2 x 5 x 16073
Step 2: Find the prime factorization of 321461
321461 = 7 x 19 x 2417
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 321460 and 321461 is 1