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 2738, 2745 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2738 and 2745 is 1.
GCF(2738,2745) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2738
2 | 2738 |
37 | 1369 |
37 | 37 |
1 |
Prime factors of 2738 are 2,37. Prime factorization of 2738 in exponential form is:
2738 = 21×372
Prime Factorization of 2745
3 | 2745 |
3 | 915 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 2745 are 3,5,61. Prime factorization of 2745 in exponential form is:
2745 = 32×51×611
∴ So by taking common prime factors GCF of 2738 and 2745 is 1
Factors of 2738
List of positive integer factors of 2738 that divides 2738 without a remainder.
1,2,37,74,1369,2738
Factors of 2745
List of positive integer factors of 2745 that divides 2745 without a remainder.
1,3,5,9,15,45,61,183,305,549,915,2745
Greatest Common Factor
We found the factors and prime factorization of 2738 and 2745. The biggest common factor number is the GCF number.
So the greatest common factor 2738 and 2745 is 1.
Also check out the Least Common Multiple of 2738 and 2745
(i) The GCF of 2738 and 2745 is associative
GCF of 2738 and 2745 = GCF of 2745 and 2738
1. What is the GCF of 2738 and 2745?
Answer: GCF of 2738 and 2745 is 1.
2. What are the Factors of 2738?
Answer: Factors of 2738 are 1, 2, 37, 74, 1369, 2738. There are 6 integers that are factors of 2738. The greatest factor of 2738 is 2738.
3. What are the Factors of 2745?
Answer: Factors of 2745 are 1, 3, 5, 9, 15, 45, 61, 183, 305, 549, 915, 2745. There are 12 integers that are factors of 2745. The greatest factor of 2745 is 2745.
4. How to Find the GCF of 2738 and 2745?
Answer:
Greatest Common Factor of 2738 and 2745 = 1
Step 1: Find the prime factorization of 2738
2738 = 2 x 37 x 37
Step 2: Find the prime factorization of 2745
2745 = 3 x 3 x 5 x 61
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 2738 and 2745 is 1