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, 9772 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9770 and 9772 is 2.
GCF(9770,9772) = 2
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 9772
2 | 9772 |
2 | 4886 |
7 | 2443 |
349 | 349 |
1 |
Prime factors of 9772 are 2,7,349. Prime factorization of 9772 in exponential form is:
9772 = 22×71×3491
∴ So by taking common prime factors GCF of 9770 and 9772 is 2
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 9772
List of positive integer factors of 9772 that divides 9772 without a remainder.
1,2,4,7,14,28,349,698,1396,2443,4886,9772
Greatest Common Factor
We found the factors and prime factorization of 9770 and 9772. The biggest common factor number is the GCF number.
So the greatest common factor 9770 and 9772 is 2.
Also check out the Least Common Multiple of 9770 and 9772
(i) The GCF of 9770 and 9772 is associative
GCF of 9770 and 9772 = GCF of 9772 and 9770
1. What is the GCF of 9770 and 9772?
Answer: GCF of 9770 and 9772 is 2.
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 9772?
Answer: Factors of 9772 are 1, 2, 4, 7, 14, 28, 349, 698, 1396, 2443, 4886, 9772. There are 12 integers that are factors of 9772. The greatest factor of 9772 is 9772.
4. How to Find the GCF of 9770 and 9772?
Answer:
Greatest Common Factor of 9770 and 9772 = 2
Step 1: Find the prime factorization of 9770
9770 = 2 x 5 x 977
Step 2: Find the prime factorization of 9772
9772 = 2 x 2 x 7 x 349
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9770 and 9772 is 2