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 2793, 2795 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2793 and 2795 is 1.
GCF(2793,2795) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2793
3 | 2793 |
7 | 931 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 2793 are 3,7,19. Prime factorization of 2793 in exponential form is:
2793 = 31×72×191
Prime Factorization of 2795
5 | 2795 |
13 | 559 |
43 | 43 |
1 |
Prime factors of 2795 are 5,13,43. Prime factorization of 2795 in exponential form is:
2795 = 51×131×431
∴ So by taking common prime factors GCF of 2793 and 2795 is 1
Factors of 2793
List of positive integer factors of 2793 that divides 2793 without a remainder.
1,3,7,19,21,49,57,133,147,399,931,2793
Factors of 2795
List of positive integer factors of 2795 that divides 2795 without a remainder.
1,5,13,43,65,215,559,2795
Greatest Common Factor
We found the factors and prime factorization of 2793 and 2795. The biggest common factor number is the GCF number.
So the greatest common factor 2793 and 2795 is 1.
Also check out the Least Common Multiple of 2793 and 2795
(i) The GCF of 2793 and 2795 is associative
GCF of 2793 and 2795 = GCF of 2795 and 2793
1. What is the GCF of 2793 and 2795?
Answer: GCF of 2793 and 2795 is 1.
2. What are the Factors of 2793?
Answer: Factors of 2793 are 1, 3, 7, 19, 21, 49, 57, 133, 147, 399, 931, 2793. There are 12 integers that are factors of 2793. The greatest factor of 2793 is 2793.
3. What are the Factors of 2795?
Answer: Factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795. There are 8 integers that are factors of 2795. The greatest factor of 2795 is 2795.
4. How to Find the GCF of 2793 and 2795?
Answer:
Greatest Common Factor of 2793 and 2795 = 1
Step 1: Find the prime factorization of 2793
2793 = 3 x 7 x 7 x 19
Step 2: Find the prime factorization of 2795
2795 = 5 x 13 x 43
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 2793 and 2795 is 1