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 789, 792 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 789 and 792 is 3.
GCF(789,792) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 789
3 | 789 |
263 | 263 |
1 |
Prime factors of 789 are 3,263. Prime factorization of 789 in exponential form is:
789 = 31×2631
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
∴ So by taking common prime factors GCF of 789 and 792 is 3
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
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
Greatest Common Factor
We found the factors and prime factorization of 789 and 792. The biggest common factor number is the GCF number.
So the greatest common factor 789 and 792 is 3.
Also check out the Least Common Multiple of 789 and 792
(i) The GCF of 789 and 792 is associative
GCF of 789 and 792 = GCF of 792 and 789
1. What is the GCF of 789 and 792?
Answer: GCF of 789 and 792 is 3.
2. What are the Factors of 789?
Answer: Factors of 789 are 1, 3, 263, 789. There are 4 integers that are factors of 789. The greatest factor of 789 is 789.
3. 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.
4. How to Find the GCF of 789 and 792?
Answer:
Greatest Common Factor of 789 and 792 = 3
Step 1: Find the prime factorization of 789
789 = 3 x 263
Step 2: Find the prime factorization of 792
792 = 2 x 2 x 2 x 3 x 3 x 11
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 789 and 792 is 3