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 6669, 6677 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6669 and 6677 is 1.
GCF(6669,6677) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6669
3 | 6669 |
3 | 2223 |
3 | 741 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 6669 are 3,13,19. Prime factorization of 6669 in exponential form is:
6669 = 33×131×191
Prime Factorization of 6677
11 | 6677 |
607 | 607 |
1 |
Prime factors of 6677 are 11,607. Prime factorization of 6677 in exponential form is:
6677 = 111×6071
∴ So by taking common prime factors GCF of 6669 and 6677 is 1
Factors of 6669
List of positive integer factors of 6669 that divides 6669 without a remainder.
1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Factors of 6677
List of positive integer factors of 6677 that divides 6677 without a remainder.
1,11,607,6677
Greatest Common Factor
We found the factors and prime factorization of 6669 and 6677. The biggest common factor number is the GCF number.
So the greatest common factor 6669 and 6677 is 1.
Also check out the Least Common Multiple of 6669 and 6677
(i) The GCF of 6669 and 6677 is associative
GCF of 6669 and 6677 = GCF of 6677 and 6669
1. What is the GCF of 6669 and 6677?
Answer: GCF of 6669 and 6677 is 1.
2. What are the Factors of 6669?
Answer: Factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669. There are 16 integers that are factors of 6669. The greatest factor of 6669 is 6669.
3. What are the Factors of 6677?
Answer: Factors of 6677 are 1, 11, 607, 6677. There are 4 integers that are factors of 6677. The greatest factor of 6677 is 6677.
4. How to Find the GCF of 6669 and 6677?
Answer:
Greatest Common Factor of 6669 and 6677 = 1
Step 1: Find the prime factorization of 6669
6669 = 3 x 3 x 3 x 13 x 19
Step 2: Find the prime factorization of 6677
6677 = 11 x 607
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 6669 and 6677 is 1