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 2703, 2711 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2703 and 2711 is 1.
GCF(2703,2711) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2703
3 | 2703 |
17 | 901 |
53 | 53 |
1 |
Prime factors of 2703 are 3,17,53. Prime factorization of 2703 in exponential form is:
2703 = 31×171×531
Prime Factorization of 2711
2711 | 2711 |
1 |
Prime factors of 2711 are 2711. Prime factorization of 2711 in exponential form is:
2711 = 27111
∴ So by taking common prime factors GCF of 2703 and 2711 is 1
Factors of 2703
List of positive integer factors of 2703 that divides 2703 without a remainder.
1,3,17,51,53,159,901,2703
Factors of 2711
List of positive integer factors of 2711 that divides 2711 without a remainder.
1,2711
Greatest Common Factor
We found the factors and prime factorization of 2703 and 2711. The biggest common factor number is the GCF number.
So the greatest common factor 2703 and 2711 is 1.
Also check out the Least Common Multiple of 2703 and 2711
(i) The GCF of 2703 and 2711 is associative
GCF of 2703 and 2711 = GCF of 2711 and 2703
1. What is the GCF of 2703 and 2711?
Answer: GCF of 2703 and 2711 is 1.
2. What are the Factors of 2703?
Answer: Factors of 2703 are 1, 3, 17, 51, 53, 159, 901, 2703. There are 8 integers that are factors of 2703. The greatest factor of 2703 is 2703.
3. What are the Factors of 2711?
Answer: Factors of 2711 are 1, 2711. There are 2 integers that are factors of 2711. The greatest factor of 2711 is 2711.
4. How to Find the GCF of 2703 and 2711?
Answer:
Greatest Common Factor of 2703 and 2711 = 1
Step 1: Find the prime factorization of 2703
2703 = 3 x 17 x 53
Step 2: Find the prime factorization of 2711
2711 = 2711
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 2703 and 2711 is 1