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 6759, 6762 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6759 and 6762 is 3.
GCF(6759,6762) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6759
3 | 6759 |
3 | 2253 |
751 | 751 |
1 |
Prime factors of 6759 are 3,751. Prime factorization of 6759 in exponential form is:
6759 = 32×7511
Prime Factorization of 6762
2 | 6762 |
3 | 3381 |
7 | 1127 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 6762 are 2,3,7,23. Prime factorization of 6762 in exponential form is:
6762 = 21×31×72×231
∴ So by taking common prime factors GCF of 6759 and 6762 is 3
Factors of 6759
List of positive integer factors of 6759 that divides 6759 without a remainder.
1,3,9,751,2253,6759
Factors of 6762
List of positive integer factors of 6762 that divides 6762 without a remainder.
1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Greatest Common Factor
We found the factors and prime factorization of 6759 and 6762. The biggest common factor number is the GCF number.
So the greatest common factor 6759 and 6762 is 3.
Also check out the Least Common Multiple of 6759 and 6762
(i) The GCF of 6759 and 6762 is associative
GCF of 6759 and 6762 = GCF of 6762 and 6759
1. What is the GCF of 6759 and 6762?
Answer: GCF of 6759 and 6762 is 3.
2. What are the Factors of 6759?
Answer: Factors of 6759 are 1, 3, 9, 751, 2253, 6759. There are 6 integers that are factors of 6759. The greatest factor of 6759 is 6759.
3. What are the Factors of 6762?
Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.
4. How to Find the GCF of 6759 and 6762?
Answer:
Greatest Common Factor of 6759 and 6762 = 3
Step 1: Find the prime factorization of 6759
6759 = 3 x 3 x 751
Step 2: Find the prime factorization of 6762
6762 = 2 x 3 x 7 x 7 x 23
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 6759 and 6762 is 3