Greatest Common Factor of 782 and 789
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 782, 789 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 782 and 789 is 1.
GCF(782,789) = 1
GCF of 782 and 789
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 782 and 789 by prime factorization method
- Greatest Common Factor of 782 and 789 by matching factors method
GCF of 782 and 789 is 1
Prime Factorization of 782
| 2 | 782 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 782 are 2,17,23. Prime factorization of 782 in exponential form is:
782 = 21×171×231
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
∴ So by taking common prime factors GCF of 782 and 789 is 1
Greatest Common Factor of 782 and 789 by matching factors method
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors and prime factorization of 782 and 789. The biggest common factor number is the GCF number.
So the greatest common factor 782 and 789 is 1.
Also check out the Least Common Multiple of 782 and 789
Properties of GCF 782 and 789
(i) The GCF of 782 and 789 is associative
GCF of 782 and 789 = GCF of 789 and 782
Related Greatest Common Factor of 782
Related Greatest Common Factor of 789
Frequently Asked Questions on GCF of 782 and 789
1. What is the GCF of 782 and 789?
Answer: GCF of 782 and 789 is 1.
2. What are the Factors of 782?
Answer: Factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782. There are 8 integers that are factors of 782. The greatest factor of 782 is 782.
3. 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.
4. How to Find the GCF of 782 and 789?
Answer:
Greatest Common Factor of 782 and 789 = 1
Step 1: Find the prime factorization of 782
782 = 2 x 17 x 23
Step 2: Find the prime factorization of 789
789 = 3 x 263
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 782 and 789 is 1
