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 6750, 6755 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6750 and 6755 is 5.
GCF(6750,6755) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 6755
5 | 6755 |
7 | 1351 |
193 | 193 |
1 |
Prime factors of 6755 are 5,7,193. Prime factorization of 6755 in exponential form is:
6755 = 51×71×1931
∴ So by taking common prime factors GCF of 6750 and 6755 is 5
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
Factors of 6755
List of positive integer factors of 6755 that divides 6755 without a remainder.
1,5,7,35,193,965,1351,6755
Greatest Common Factor
We found the factors and prime factorization of 6750 and 6755. The biggest common factor number is the GCF number.
So the greatest common factor 6750 and 6755 is 5.
Also check out the Least Common Multiple of 6750 and 6755
(i) The GCF of 6750 and 6755 is associative
GCF of 6750 and 6755 = GCF of 6755 and 6750
1. What is the GCF of 6750 and 6755?
Answer: GCF of 6750 and 6755 is 5.
2. 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.
3. What are the Factors of 6755?
Answer: Factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755. There are 8 integers that are factors of 6755. The greatest factor of 6755 is 6755.
4. How to Find the GCF of 6750 and 6755?
Answer:
Greatest Common Factor of 6750 and 6755 = 5
Step 1: Find the prime factorization of 6750
6750 = 2 x 3 x 3 x 3 x 5 x 5 x 5
Step 2: Find the prime factorization of 6755
6755 = 5 x 7 x 193
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 6750 and 6755 is 5