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 2723, 2729 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2723 and 2729 is 1.
GCF(2723,2729) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2723
7 | 2723 |
389 | 389 |
1 |
Prime factors of 2723 are 7,389. Prime factorization of 2723 in exponential form is:
2723 = 71×3891
Prime Factorization of 2729
2729 | 2729 |
1 |
Prime factors of 2729 are 2729. Prime factorization of 2729 in exponential form is:
2729 = 27291
∴ So by taking common prime factors GCF of 2723 and 2729 is 1
Factors of 2723
List of positive integer factors of 2723 that divides 2723 without a remainder.
1,7,389,2723
Factors of 2729
List of positive integer factors of 2729 that divides 2729 without a remainder.
1,2729
Greatest Common Factor
We found the factors and prime factorization of 2723 and 2729. The biggest common factor number is the GCF number.
So the greatest common factor 2723 and 2729 is 1.
Also check out the Least Common Multiple of 2723 and 2729
(i) The GCF of 2723 and 2729 is associative
GCF of 2723 and 2729 = GCF of 2729 and 2723
1. What is the GCF of 2723 and 2729?
Answer: GCF of 2723 and 2729 is 1.
2. What are the Factors of 2723?
Answer: Factors of 2723 are 1, 7, 389, 2723. There are 4 integers that are factors of 2723. The greatest factor of 2723 is 2723.
3. What are the Factors of 2729?
Answer: Factors of 2729 are 1, 2729. There are 2 integers that are factors of 2729. The greatest factor of 2729 is 2729.
4. How to Find the GCF of 2723 and 2729?
Answer:
Greatest Common Factor of 2723 and 2729 = 1
Step 1: Find the prime factorization of 2723
2723 = 7 x 389
Step 2: Find the prime factorization of 2729
2729 = 2729
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 2723 and 2729 is 1