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 2734, 2742 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2734 and 2742 is 2.
GCF(2734,2742) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2742
2 | 2742 |
3 | 1371 |
457 | 457 |
1 |
Prime factors of 2742 are 2,3,457. Prime factorization of 2742 in exponential form is:
2742 = 21×31×4571
∴ So by taking common prime factors GCF of 2734 and 2742 is 2
Factors of 2734
List of positive integer factors of 2734 that divides 2734 without a remainder.
1,2,1367,2734
Factors of 2742
List of positive integer factors of 2742 that divides 2742 without a remainder.
1,2,3,6,457,914,1371,2742
Greatest Common Factor
We found the factors and prime factorization of 2734 and 2742. The biggest common factor number is the GCF number.
So the greatest common factor 2734 and 2742 is 2.
Also check out the Least Common Multiple of 2734 and 2742
(i) The GCF of 2734 and 2742 is associative
GCF of 2734 and 2742 = GCF of 2742 and 2734
1. What is the GCF of 2734 and 2742?
Answer: GCF of 2734 and 2742 is 2.
2. 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.
3. What are the Factors of 2742?
Answer: Factors of 2742 are 1, 2, 3, 6, 457, 914, 1371, 2742. There are 8 integers that are factors of 2742. The greatest factor of 2742 is 2742.
4. How to Find the GCF of 2734 and 2742?
Answer:
Greatest Common Factor of 2734 and 2742 = 2
Step 1: Find the prime factorization of 2734
2734 = 2 x 1367
Step 2: Find the prime factorization of 2742
2742 = 2 x 3 x 457
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 2734 and 2742 is 2