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 9779, 9785 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9779 and 9785 is 1.
GCF(9779,9785) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9779
7 | 9779 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 9779 are 7,11,127. Prime factorization of 9779 in exponential form is:
9779 = 71×111×1271
Prime Factorization of 9785
5 | 9785 |
19 | 1957 |
103 | 103 |
1 |
Prime factors of 9785 are 5,19,103. Prime factorization of 9785 in exponential form is:
9785 = 51×191×1031
∴ So by taking common prime factors GCF of 9779 and 9785 is 1
Factors of 9779
List of positive integer factors of 9779 that divides 9779 without a remainder.
1,7,11,77,127,889,1397,9779
Factors of 9785
List of positive integer factors of 9785 that divides 9785 without a remainder.
1,5,19,95,103,515,1957,9785
Greatest Common Factor
We found the factors and prime factorization of 9779 and 9785. The biggest common factor number is the GCF number.
So the greatest common factor 9779 and 9785 is 1.
Also check out the Least Common Multiple of 9779 and 9785
(i) The GCF of 9779 and 9785 is associative
GCF of 9779 and 9785 = GCF of 9785 and 9779
1. What is the GCF of 9779 and 9785?
Answer: GCF of 9779 and 9785 is 1.
2. What are the Factors of 9779?
Answer: Factors of 9779 are 1, 7, 11, 77, 127, 889, 1397, 9779. There are 8 integers that are factors of 9779. The greatest factor of 9779 is 9779.
3. What are the Factors of 9785?
Answer: Factors of 9785 are 1, 5, 19, 95, 103, 515, 1957, 9785. There are 8 integers that are factors of 9785. The greatest factor of 9785 is 9785.
4. How to Find the GCF of 9779 and 9785?
Answer:
Greatest Common Factor of 9779 and 9785 = 1
Step 1: Find the prime factorization of 9779
9779 = 7 x 11 x 127
Step 2: Find the prime factorization of 9785
9785 = 5 x 19 x 103
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 9779 and 9785 is 1