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 796, 798 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 796 and 798 is 2.
GCF(796,798) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 796
2 | 796 |
2 | 398 |
199 | 199 |
1 |
Prime factors of 796 are 2,199. Prime factorization of 796 in exponential form is:
796 = 22×1991
Prime Factorization of 798
2 | 798 |
3 | 399 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 798 are 2,3,7,19. Prime factorization of 798 in exponential form is:
798 = 21×31×71×191
∴ So by taking common prime factors GCF of 796 and 798 is 2
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors and prime factorization of 796 and 798. The biggest common factor number is the GCF number.
So the greatest common factor 796 and 798 is 2.
Also check out the Least Common Multiple of 796 and 798
(i) The GCF of 796 and 798 is associative
GCF of 796 and 798 = GCF of 798 and 796
1. What is the GCF of 796 and 798?
Answer: GCF of 796 and 798 is 2.
2. What are the Factors of 796?
Answer: Factors of 796 are 1, 2, 4, 199, 398, 796. There are 6 integers that are factors of 796. The greatest factor of 796 is 796.
3. What are the Factors of 798?
Answer: Factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798. There are 16 integers that are factors of 798. The greatest factor of 798 is 798.
4. How to Find the GCF of 796 and 798?
Answer:
Greatest Common Factor of 796 and 798 = 2
Step 1: Find the prime factorization of 796
796 = 2 x 2 x 199
Step 2: Find the prime factorization of 798
798 = 2 x 3 x 7 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 796 and 798 is 2