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 9767, 9775 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9767 and 9775 is 1.
GCF(9767,9775) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9767
9767 | 9767 |
1 |
Prime factors of 9767 are 9767. Prime factorization of 9767 in exponential form is:
9767 = 97671
Prime Factorization of 9775
5 | 9775 |
5 | 1955 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 9775 are 5.Prime factorization of 9775 in exponential form is:
9775 = 52×171×231
∴ So by taking common prime factors GCF of 9767 and 9775 is 1
Factors of 9767
List of positive integer factors of 9767 that divides 9767 without a remainder.
1,9767
Factors of 9775
List of positive integer factors of 9775 that divides 9775 without a remainder.
1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors and prime factorization of 9767 and 9775. The biggest common factor number is the GCF number.
So the greatest common factor 9767 and 9775 is 1.
Also check out the Least Common Multiple of 9767 and 9775
(i) The GCF of 9767 and 9775 is associative
GCF of 9767 and 9775 = GCF of 9775 and 9767
1. What is the GCF of 9767 and 9775?
Answer: GCF of 9767 and 9775 is 1.
2. What are the Factors of 9767?
Answer: Factors of 9767 are 1, 9767. There are 2 integers that are factors of 9767. The greatest factor of 9767 is 9767.
3. What are the Factors of 9775?
Answer: Factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775. There are 12 integers that are factors of 9775. The greatest factor of 9775 is 9775.
4. How to Find the GCF of 9767 and 9775?
Answer:
Greatest Common Factor of 9767 and 9775 = 1
Step 1: Find the prime factorization of 9767
9767 = 9767
Step 2: Find the prime factorization of 9775
9775 = 5 x 5 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 9767 and 9775 is 1