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 2741, 2748 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2741 and 2748 is 1.
GCF(2741,2748) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2741
2741 | 2741 |
1 |
Prime factors of 2741 are 2741. Prime factorization of 2741 in exponential form is:
2741 = 27411
Prime Factorization of 2748
2 | 2748 |
2 | 1374 |
3 | 687 |
229 | 229 |
1 |
Prime factors of 2748 are 2.Prime factorization of 2748 in exponential form is:
2748 = 22×31×2291
∴ So by taking common prime factors GCF of 2741 and 2748 is 1
Factors of 2741
List of positive integer factors of 2741 that divides 2741 without a remainder.
1,2741
Factors of 2748
List of positive integer factors of 2748 that divides 2748 without a remainder.
1,2,3,4,6,12,229,458,687,916,1374,2748
Greatest Common Factor
We found the factors and prime factorization of 2741 and 2748. The biggest common factor number is the GCF number.
So the greatest common factor 2741 and 2748 is 1.
Also check out the Least Common Multiple of 2741 and 2748
(i) The GCF of 2741 and 2748 is associative
GCF of 2741 and 2748 = GCF of 2748 and 2741
1. What is the GCF of 2741 and 2748?
Answer: GCF of 2741 and 2748 is 1.
2. What are the Factors of 2741?
Answer: Factors of 2741 are 1, 2741. There are 2 integers that are factors of 2741. The greatest factor of 2741 is 2741.
3. What are the Factors of 2748?
Answer: Factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748. There are 12 integers that are factors of 2748. The greatest factor of 2748 is 2748.
4. How to Find the GCF of 2741 and 2748?
Answer:
Greatest Common Factor of 2741 and 2748 = 1
Step 1: Find the prime factorization of 2741
2741 = 2741
Step 2: Find the prime factorization of 2748
2748 = 2 x 2 x 3 x 229
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 2741 and 2748 is 1