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 2745, 2753 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2745 and 2753 is 1.
GCF(2745,2753) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2753
2753 | 2753 |
1 |
Prime factors of 2753 are 2753. Prime factorization of 2753 in exponential form is:
2753 = 27531
∴ So by taking common prime factors GCF of 2745 and 2753 is 1
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
Factors of 2753
List of positive integer factors of 2753 that divides 2753 without a remainder.
1,2753
Greatest Common Factor
We found the factors and prime factorization of 2745 and 2753. The biggest common factor number is the GCF number.
So the greatest common factor 2745 and 2753 is 1.
Also check out the Least Common Multiple of 2745 and 2753
(i) The GCF of 2745 and 2753 is associative
GCF of 2745 and 2753 = GCF of 2753 and 2745
1. What is the GCF of 2745 and 2753?
Answer: GCF of 2745 and 2753 is 1.
2. 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.
3. What are the Factors of 2753?
Answer: Factors of 2753 are 1, 2753. There are 2 integers that are factors of 2753. The greatest factor of 2753 is 2753.
4. How to Find the GCF of 2745 and 2753?
Answer:
Greatest Common Factor of 2745 and 2753 = 1
Step 1: Find the prime factorization of 2745
2745 = 3 x 3 x 5 x 61
Step 2: Find the prime factorization of 2753
2753 = 2753
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 2745 and 2753 is 1