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 792, 798 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 792 and 798 is 6.
GCF(792,798) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 792
2 | 792 |
2 | 396 |
2 | 198 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 792 are 2,3,11. Prime factorization of 792 in exponential form is:
792 = 23×32×111
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 792 and 798 is 6
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
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 792 and 798. The biggest common factor number is the GCF number.
So the greatest common factor 792 and 798 is 6.
Also check out the Least Common Multiple of 792 and 798
(i) The GCF of 792 and 798 is associative
GCF of 792 and 798 = GCF of 798 and 792
1. What is the GCF of 792 and 798?
Answer: GCF of 792 and 798 is 6.
2. What are the Factors of 792?
Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.
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 792 and 798?
Answer:
Greatest Common Factor of 792 and 798 = 6
Step 1: Find the prime factorization of 792
792 = 2 x 2 x 2 x 3 x 3 x 11
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 x 3 = 6
Step 4: Therefore, the greatest common factor of 792 and 798 is 6