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 6747, 6750 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6747 and 6750 is 3.
GCF(6747,6750) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6747
3 | 6747 |
13 | 2249 |
173 | 173 |
1 |
Prime factors of 6747 are 3,13,173. Prime factorization of 6747 in exponential form is:
6747 = 31×131×1731
Prime Factorization of 6750
2 | 6750 |
3 | 3375 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 6750 are 2,3,5. Prime factorization of 6750 in exponential form is:
6750 = 21×33×53
∴ So by taking common prime factors GCF of 6747 and 6750 is 3
Factors of 6747
List of positive integer factors of 6747 that divides 6747 without a remainder.
1,3,13,39,173,519,2249,6747
Factors of 6750
List of positive integer factors of 6750 that divides 6750 without a remainder.
1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750
Greatest Common Factor
We found the factors and prime factorization of 6747 and 6750. The biggest common factor number is the GCF number.
So the greatest common factor 6747 and 6750 is 3.
Also check out the Least Common Multiple of 6747 and 6750
(i) The GCF of 6747 and 6750 is associative
GCF of 6747 and 6750 = GCF of 6750 and 6747
1. What is the GCF of 6747 and 6750?
Answer: GCF of 6747 and 6750 is 3.
2. What are the Factors of 6747?
Answer: Factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747. There are 8 integers that are factors of 6747. The greatest factor of 6747 is 6747.
3. What are the Factors of 6750?
Answer: Factors of 6750 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750. There are 32 integers that are factors of 6750. The greatest factor of 6750 is 6750.
4. How to Find the GCF of 6747 and 6750?
Answer:
Greatest Common Factor of 6747 and 6750 = 3
Step 1: Find the prime factorization of 6747
6747 = 3 x 13 x 173
Step 2: Find the prime factorization of 6750
6750 = 2 x 3 x 3 x 3 x 5 x 5 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 6747 and 6750 is 3