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 2742, 2747 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2742 and 2747 is 1.
GCF(2742,2747) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2747
41 | 2747 |
67 | 67 |
1 |
Prime factors of 2747 are 41,67. Prime factorization of 2747 in exponential form is:
2747 = 411×671
∴ So by taking common prime factors GCF of 2742 and 2747 is 1
Factors of 2742
List of positive integer factors of 2742 that divides 2742 without a remainder.
1,2,3,6,457,914,1371,2742
Factors of 2747
List of positive integer factors of 2747 that divides 2747 without a remainder.
1,41,67,2747
Greatest Common Factor
We found the factors and prime factorization of 2742 and 2747. The biggest common factor number is the GCF number.
So the greatest common factor 2742 and 2747 is 1.
Also check out the Least Common Multiple of 2742 and 2747
(i) The GCF of 2742 and 2747 is associative
GCF of 2742 and 2747 = GCF of 2747 and 2742
1. What is the GCF of 2742 and 2747?
Answer: GCF of 2742 and 2747 is 1.
2. 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.
3. What are the Factors of 2747?
Answer: Factors of 2747 are 1, 41, 67, 2747. There are 4 integers that are factors of 2747. The greatest factor of 2747 is 2747.
4. How to Find the GCF of 2742 and 2747?
Answer:
Greatest Common Factor of 2742 and 2747 = 1
Step 1: Find the prime factorization of 2742
2742 = 2 x 3 x 457
Step 2: Find the prime factorization of 2747
2747 = 41 x 67
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 2742 and 2747 is 1