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 5795, 5796 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5795 and 5796 is 1.
GCF(5795,5796) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5795
5 | 5795 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 5795 are 5,19,61. Prime factorization of 5795 in exponential form is:
5795 = 51×191×611
Prime Factorization of 5796
2 | 5796 |
2 | 2898 |
3 | 1449 |
3 | 483 |
7 | 161 |
23 | 23 |
1 |
Prime factors of 5796 are 2,3,7,23. Prime factorization of 5796 in exponential form is:
5796 = 22×32×71×231
∴ So by taking common prime factors GCF of 5795 and 5796 is 1
Factors of 5795
List of positive integer factors of 5795 that divides 5795 without a remainder.
1,5,19,61,95,305,1159,5795
Factors of 5796
List of positive integer factors of 5796 that divides 5796 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,23,28,36,42,46,63,69,84,92,126,138,161,207,252,276,322,414,483,644,828,966,1449,1932,2898,5796
Greatest Common Factor
We found the factors and prime factorization of 5795 and 5796. The biggest common factor number is the GCF number.
So the greatest common factor 5795 and 5796 is 1.
Also check out the Least Common Multiple of 5795 and 5796
(i) The GCF of 5795 and 5796 is associative
GCF of 5795 and 5796 = GCF of 5796 and 5795
1. What is the GCF of 5795 and 5796?
Answer: GCF of 5795 and 5796 is 1.
2. What are the Factors of 5795?
Answer: Factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795. There are 8 integers that are factors of 5795. The greatest factor of 5795 is 5795.
3. What are the Factors of 5796?
Answer: Factors of 5796 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796. There are 36 integers that are factors of 5796. The greatest factor of 5796 is 5796.
4. How to Find the GCF of 5795 and 5796?
Answer:
Greatest Common Factor of 5795 and 5796 = 1
Step 1: Find the prime factorization of 5795
5795 = 5 x 19 x 61
Step 2: Find the prime factorization of 5796
5796 = 2 x 2 x 3 x 3 x 7 x 23
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 5795 and 5796 is 1