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 2743, 2746 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2743 and 2746 is 1.
GCF(2743,2746) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2743
13 | 2743 |
211 | 211 |
1 |
Prime factors of 2743 are 13,211. Prime factorization of 2743 in exponential form is:
2743 = 131×2111
Prime Factorization of 2746
2 | 2746 |
1373 | 1373 |
1 |
Prime factors of 2746 are 2,1373. Prime factorization of 2746 in exponential form is:
2746 = 21×13731
∴ So by taking common prime factors GCF of 2743 and 2746 is 1
Factors of 2743
List of positive integer factors of 2743 that divides 2743 without a remainder.
1,13,211,2743
Factors of 2746
List of positive integer factors of 2746 that divides 2746 without a remainder.
1,2,1373,2746
Greatest Common Factor
We found the factors and prime factorization of 2743 and 2746. The biggest common factor number is the GCF number.
So the greatest common factor 2743 and 2746 is 1.
Also check out the Least Common Multiple of 2743 and 2746
(i) The GCF of 2743 and 2746 is associative
GCF of 2743 and 2746 = GCF of 2746 and 2743
1. What is the GCF of 2743 and 2746?
Answer: GCF of 2743 and 2746 is 1.
2. What are the Factors of 2743?
Answer: Factors of 2743 are 1, 13, 211, 2743. There are 4 integers that are factors of 2743. The greatest factor of 2743 is 2743.
3. What are the Factors of 2746?
Answer: Factors of 2746 are 1, 2, 1373, 2746. There are 4 integers that are factors of 2746. The greatest factor of 2746 is 2746.
4. How to Find the GCF of 2743 and 2746?
Answer:
Greatest Common Factor of 2743 and 2746 = 1
Step 1: Find the prime factorization of 2743
2743 = 13 x 211
Step 2: Find the prime factorization of 2746
2746 = 2 x 1373
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 2743 and 2746 is 1