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 6498, 6505 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6498 and 6505 is 1.
GCF(6498,6505) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6498
2 | 6498 |
3 | 3249 |
3 | 1083 |
19 | 361 |
19 | 19 |
1 |
Prime factors of 6498 are 2,3,19. Prime factorization of 6498 in exponential form is:
6498 = 21×32×192
Prime Factorization of 6505
5 | 6505 |
1301 | 1301 |
1 |
Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:
6505 = 51×13011
∴ So by taking common prime factors GCF of 6498 and 6505 is 1
Factors of 6498
List of positive integer factors of 6498 that divides 6498 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Factors of 6505
List of positive integer factors of 6505 that divides 6505 without a remainder.
1,5,1301,6505
Greatest Common Factor
We found the factors and prime factorization of 6498 and 6505. The biggest common factor number is the GCF number.
So the greatest common factor 6498 and 6505 is 1.
Also check out the Least Common Multiple of 6498 and 6505
(i) The GCF of 6498 and 6505 is associative
GCF of 6498 and 6505 = GCF of 6505 and 6498
1. What is the GCF of 6498 and 6505?
Answer: GCF of 6498 and 6505 is 1.
2. What are the Factors of 6498?
Answer: Factors of 6498 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249, 6498. There are 18 integers that are factors of 6498. The greatest factor of 6498 is 6498.
3. What are the Factors of 6505?
Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.
4. How to Find the GCF of 6498 and 6505?
Answer:
Greatest Common Factor of 6498 and 6505 = 1
Step 1: Find the prime factorization of 6498
6498 = 2 x 3 x 3 x 19 x 19
Step 2: Find the prime factorization of 6505
6505 = 5 x 1301
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 6498 and 6505 is 1