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 9770, 9773 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9770 and 9773 is 1.
GCF(9770,9773) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9770
2 | 9770 |
5 | 4885 |
977 | 977 |
1 |
Prime factors of 9770 are 2,5,977. Prime factorization of 9770 in exponential form is:
9770 = 21×51×9771
Prime Factorization of 9773
29 | 9773 |
337 | 337 |
1 |
Prime factors of 9773 are 29,337. Prime factorization of 9773 in exponential form is:
9773 = 291×3371
∴ So by taking common prime factors GCF of 9770 and 9773 is 1
Factors of 9770
List of positive integer factors of 9770 that divides 9770 without a remainder.
1,2,5,10,977,1954,4885,9770
Factors of 9773
List of positive integer factors of 9773 that divides 9773 without a remainder.
1,29,337,9773
Greatest Common Factor
We found the factors and prime factorization of 9770 and 9773. The biggest common factor number is the GCF number.
So the greatest common factor 9770 and 9773 is 1.
Also check out the Least Common Multiple of 9770 and 9773
(i) The GCF of 9770 and 9773 is associative
GCF of 9770 and 9773 = GCF of 9773 and 9770
1. What is the GCF of 9770 and 9773?
Answer: GCF of 9770 and 9773 is 1.
2. What are the Factors of 9770?
Answer: Factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770. There are 8 integers that are factors of 9770. The greatest factor of 9770 is 9770.
3. What are the Factors of 9773?
Answer: Factors of 9773 are 1, 29, 337, 9773. There are 4 integers that are factors of 9773. The greatest factor of 9773 is 9773.
4. How to Find the GCF of 9770 and 9773?
Answer:
Greatest Common Factor of 9770 and 9773 = 1
Step 1: Find the prime factorization of 9770
9770 = 2 x 5 x 977
Step 2: Find the prime factorization of 9773
9773 = 29 x 337
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 9770 and 9773 is 1