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 6604, 6609 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6604 and 6609 is 1.
GCF(6604,6609) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6604
2 | 6604 |
2 | 3302 |
13 | 1651 |
127 | 127 |
1 |
Prime factors of 6604 are 2,13,127. Prime factorization of 6604 in exponential form is:
6604 = 22×131×1271
Prime Factorization of 6609
3 | 6609 |
2203 | 2203 |
1 |
Prime factors of 6609 are 3,2203. Prime factorization of 6609 in exponential form is:
6609 = 31×22031
∴ So by taking common prime factors GCF of 6604 and 6609 is 1
Factors of 6604
List of positive integer factors of 6604 that divides 6604 without a remainder.
1,2,4,13,26,52,127,254,508,1651,3302,6604
Factors of 6609
List of positive integer factors of 6609 that divides 6609 without a remainder.
1,3,2203,6609
Greatest Common Factor
We found the factors and prime factorization of 6604 and 6609. The biggest common factor number is the GCF number.
So the greatest common factor 6604 and 6609 is 1.
Also check out the Least Common Multiple of 6604 and 6609
(i) The GCF of 6604 and 6609 is associative
GCF of 6604 and 6609 = GCF of 6609 and 6604
1. What is the GCF of 6604 and 6609?
Answer: GCF of 6604 and 6609 is 1.
2. What are the Factors of 6604?
Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.
3. What are the Factors of 6609?
Answer: Factors of 6609 are 1, 3, 2203, 6609. There are 4 integers that are factors of 6609. The greatest factor of 6609 is 6609.
4. How to Find the GCF of 6604 and 6609?
Answer:
Greatest Common Factor of 6604 and 6609 = 1
Step 1: Find the prime factorization of 6604
6604 = 2 x 2 x 13 x 127
Step 2: Find the prime factorization of 6609
6609 = 3 x 2203
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 6604 and 6609 is 1