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 779, 782 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 779 and 782 is 1.
GCF(779,782) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 779
19 | 779 |
41 | 41 |
1 |
Prime factors of 779 are 19,41. Prime factorization of 779 in exponential form is:
779 = 191×411
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
∴ So by taking common prime factors GCF of 779 and 782 is 1
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors and prime factorization of 779 and 782. The biggest common factor number is the GCF number.
So the greatest common factor 779 and 782 is 1.
Also check out the Least Common Multiple of 779 and 782
(i) The GCF of 779 and 782 is associative
GCF of 779 and 782 = GCF of 782 and 779
1. What is the GCF of 779 and 782?
Answer: GCF of 779 and 782 is 1.
2. What are the Factors of 779?
Answer: Factors of 779 are 1, 19, 41, 779. There are 4 integers that are factors of 779. The greatest factor of 779 is 779.
3. 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.
4. How to Find the GCF of 779 and 782?
Answer:
Greatest Common Factor of 779 and 782 = 1
Step 1: Find the prime factorization of 779
779 = 19 x 41
Step 2: Find the prime factorization of 782
782 = 2 x 17 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 779 and 782 is 1