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 2730, 2734 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2730 and 2734 is 2.
GCF(2730,2734) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2730
2 | 2730 |
3 | 1365 |
5 | 455 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 2730 are 2,3,5,7,13. Prime factorization of 2730 in exponential form is:
2730 = 21×31×51×71×131
Prime Factorization of 2734
2 | 2734 |
1367 | 1367 |
1 |
Prime factors of 2734 are 2,1367. Prime factorization of 2734 in exponential form is:
2734 = 21×13671
∴ So by taking common prime factors GCF of 2730 and 2734 is 2
Factors of 2730
List of positive integer factors of 2730 that divides 2730 without a remainder.
1,2,3,5,6,7,10,13,14,15,21,26,30,35,39,42,65,70,78,91,105,130,182,195,210,273,390,455,546,910,1365,2730
Factors of 2734
List of positive integer factors of 2734 that divides 2734 without a remainder.
1,2,1367,2734
Greatest Common Factor
We found the factors and prime factorization of 2730 and 2734. The biggest common factor number is the GCF number.
So the greatest common factor 2730 and 2734 is 2.
Also check out the Least Common Multiple of 2730 and 2734
(i) The GCF of 2730 and 2734 is associative
GCF of 2730 and 2734 = GCF of 2734 and 2730
1. What is the GCF of 2730 and 2734?
Answer: GCF of 2730 and 2734 is 2.
2. What are the Factors of 2730?
Answer: Factors of 2730 are 1, 2, 3, 5, 6, 7, 10, 13, 14, 15, 21, 26, 30, 35, 39, 42, 65, 70, 78, 91, 105, 130, 182, 195, 210, 273, 390, 455, 546, 910, 1365, 2730. There are 32 integers that are factors of 2730. The greatest factor of 2730 is 2730.
3. What are the Factors of 2734?
Answer: Factors of 2734 are 1, 2, 1367, 2734. There are 4 integers that are factors of 2734. The greatest factor of 2734 is 2734.
4. How to Find the GCF of 2730 and 2734?
Answer:
Greatest Common Factor of 2730 and 2734 = 2
Step 1: Find the prime factorization of 2730
2730 = 2 x 3 x 5 x 7 x 13
Step 2: Find the prime factorization of 2734
2734 = 2 x 1367
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2730 and 2734 is 2