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 6731, 6739 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6731 and 6739 is 1.
GCF(6731,6739) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6731
53 | 6731 |
127 | 127 |
1 |
Prime factors of 6731 are 53,127. Prime factorization of 6731 in exponential form is:
6731 = 531×1271
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
∴ So by taking common prime factors GCF of 6731 and 6739 is 1
Factors of 6731
List of positive integer factors of 6731 that divides 6731 without a remainder.
1,53,127,6731
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1,23,293,6739
Greatest Common Factor
We found the factors and prime factorization of 6731 and 6739. The biggest common factor number is the GCF number.
So the greatest common factor 6731 and 6739 is 1.
Also check out the Least Common Multiple of 6731 and 6739
(i) The GCF of 6731 and 6739 is associative
GCF of 6731 and 6739 = GCF of 6739 and 6731
1. What is the GCF of 6731 and 6739?
Answer: GCF of 6731 and 6739 is 1.
2. What are the Factors of 6731?
Answer: Factors of 6731 are 1, 53, 127, 6731. There are 4 integers that are factors of 6731. The greatest factor of 6731 is 6731.
3. 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.
4. How to Find the GCF of 6731 and 6739?
Answer:
Greatest Common Factor of 6731 and 6739 = 1
Step 1: Find the prime factorization of 6731
6731 = 53 x 127
Step 2: Find the prime factorization of 6739
6739 = 23 x 293
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 6731 and 6739 is 1