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 6739, 6746 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6739 and 6746 is 1.
GCF(6739,6746) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6739
23 | 6739 |
293 | 293 |
1 |
Prime factors of 6739 are 23,293. Prime factorization of 6739 in exponential form is:
6739 = 231×2931
Prime Factorization of 6746
2 | 6746 |
3373 | 3373 |
1 |
Prime factors of 6746 are 2,3373. Prime factorization of 6746 in exponential form is:
6746 = 21×33731
∴ So by taking common prime factors GCF of 6739 and 6746 is 1
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1,23,293,6739
Factors of 6746
List of positive integer factors of 6746 that divides 6746 without a remainder.
1,2,3373,6746
Greatest Common Factor
We found the factors and prime factorization of 6739 and 6746. The biggest common factor number is the GCF number.
So the greatest common factor 6739 and 6746 is 1.
Also check out the Least Common Multiple of 6739 and 6746
(i) The GCF of 6739 and 6746 is associative
GCF of 6739 and 6746 = GCF of 6746 and 6739
1. What is the GCF of 6739 and 6746?
Answer: GCF of 6739 and 6746 is 1.
2. What are the Factors of 6739?
Answer: Factors of 6739 are 1, 23, 293, 6739. There are 4 integers that are factors of 6739. The greatest factor of 6739 is 6739.
3. What are the Factors of 6746?
Answer: Factors of 6746 are 1, 2, 3373, 6746. There are 4 integers that are factors of 6746. The greatest factor of 6746 is 6746.
4. How to Find the GCF of 6739 and 6746?
Answer:
Greatest Common Factor of 6739 and 6746 = 1
Step 1: Find the prime factorization of 6739
6739 = 23 x 293
Step 2: Find the prime factorization of 6746
6746 = 2 x 3373
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 6739 and 6746 is 1