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 6645, 6649 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6645 and 6649 is 1.
GCF(6645,6649) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6645
3 | 6645 |
5 | 2215 |
443 | 443 |
1 |
Prime factors of 6645 are 3,5,443. Prime factorization of 6645 in exponential form is:
6645 = 31×51×4431
Prime Factorization of 6649
61 | 6649 |
109 | 109 |
1 |
Prime factors of 6649 are 61,109. Prime factorization of 6649 in exponential form is:
6649 = 611×1091
∴ So by taking common prime factors GCF of 6645 and 6649 is 1
Factors of 6645
List of positive integer factors of 6645 that divides 6645 without a remainder.
1,3,5,15,443,1329,2215,6645
Factors of 6649
List of positive integer factors of 6649 that divides 6649 without a remainder.
1,61,109,6649
Greatest Common Factor
We found the factors and prime factorization of 6645 and 6649. The biggest common factor number is the GCF number.
So the greatest common factor 6645 and 6649 is 1.
Also check out the Least Common Multiple of 6645 and 6649
(i) The GCF of 6645 and 6649 is associative
GCF of 6645 and 6649 = GCF of 6649 and 6645
1. What is the GCF of 6645 and 6649?
Answer: GCF of 6645 and 6649 is 1.
2. What are the Factors of 6645?
Answer: Factors of 6645 are 1, 3, 5, 15, 443, 1329, 2215, 6645. There are 8 integers that are factors of 6645. The greatest factor of 6645 is 6645.
3. What are the Factors of 6649?
Answer: Factors of 6649 are 1, 61, 109, 6649. There are 4 integers that are factors of 6649. The greatest factor of 6649 is 6649.
4. How to Find the GCF of 6645 and 6649?
Answer:
Greatest Common Factor of 6645 and 6649 = 1
Step 1: Find the prime factorization of 6645
6645 = 3 x 5 x 443
Step 2: Find the prime factorization of 6649
6649 = 61 x 109
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 6645 and 6649 is 1