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 6486, 6494 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6486 and 6494 is 2.
GCF(6486,6494) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6486
2 | 6486 |
3 | 3243 |
23 | 1081 |
47 | 47 |
1 |
Prime factors of 6486 are 2,3,23,47. Prime factorization of 6486 in exponential form is:
6486 = 21×31×231×471
Prime Factorization of 6494
2 | 6494 |
17 | 3247 |
191 | 191 |
1 |
Prime factors of 6494 are 2,17,191. Prime factorization of 6494 in exponential form is:
6494 = 21×171×1911
∴ So by taking common prime factors GCF of 6486 and 6494 is 2
Factors of 6486
List of positive integer factors of 6486 that divides 6486 without a remainder.
1,2,3,6,23,46,47,69,94,138,141,282,1081,2162,3243,6486
Factors of 6494
List of positive integer factors of 6494 that divides 6494 without a remainder.
1,2,17,34,191,382,3247,6494
Greatest Common Factor
We found the factors and prime factorization of 6486 and 6494. The biggest common factor number is the GCF number.
So the greatest common factor 6486 and 6494 is 2.
Also check out the Least Common Multiple of 6486 and 6494
(i) The GCF of 6486 and 6494 is associative
GCF of 6486 and 6494 = GCF of 6494 and 6486
1. What is the GCF of 6486 and 6494?
Answer: GCF of 6486 and 6494 is 2.
2. What are the Factors of 6486?
Answer: Factors of 6486 are 1, 2, 3, 6, 23, 46, 47, 69, 94, 138, 141, 282, 1081, 2162, 3243, 6486. There are 16 integers that are factors of 6486. The greatest factor of 6486 is 6486.
3. What are the Factors of 6494?
Answer: Factors of 6494 are 1, 2, 17, 34, 191, 382, 3247, 6494. There are 8 integers that are factors of 6494. The greatest factor of 6494 is 6494.
4. How to Find the GCF of 6486 and 6494?
Answer:
Greatest Common Factor of 6486 and 6494 = 2
Step 1: Find the prime factorization of 6486
6486 = 2 x 3 x 23 x 47
Step 2: Find the prime factorization of 6494
6494 = 2 x 17 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 6486 and 6494 is 2