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, 2709 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2703 and 2709 is 3.
GCF(2703,2709) = 3
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 2709
3 | 2709 |
3 | 903 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 2709 are 3,7,43. Prime factorization of 2709 in exponential form is:
2709 = 32×71×431
∴ So by taking common prime factors GCF of 2703 and 2709 is 3
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 2709
List of positive integer factors of 2709 that divides 2709 without a remainder.
1,3,7,9,21,43,63,129,301,387,903,2709
Greatest Common Factor
We found the factors and prime factorization of 2703 and 2709. The biggest common factor number is the GCF number.
So the greatest common factor 2703 and 2709 is 3.
Also check out the Least Common Multiple of 2703 and 2709
(i) The GCF of 2703 and 2709 is associative
GCF of 2703 and 2709 = GCF of 2709 and 2703
1. What is the GCF of 2703 and 2709?
Answer: GCF of 2703 and 2709 is 3.
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 2709?
Answer: Factors of 2709 are 1, 3, 7, 9, 21, 43, 63, 129, 301, 387, 903, 2709. There are 12 integers that are factors of 2709. The greatest factor of 2709 is 2709.
4. How to Find the GCF of 2703 and 2709?
Answer:
Greatest Common Factor of 2703 and 2709 = 3
Step 1: Find the prime factorization of 2703
2703 = 3 x 17 x 53
Step 2: Find the prime factorization of 2709
2709 = 3 x 3 x 7 x 43
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 2703 and 2709 is 3