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 9772, 9778 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9772 and 9778 is 2.
GCF(9772,9778) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9778
2 | 9778 |
4889 | 4889 |
1 |
Prime factors of 9778 are 2,4889. Prime factorization of 9778 in exponential form is:
9778 = 21×48891
∴ So by taking common prime factors GCF of 9772 and 9778 is 2
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
Factors of 9778
List of positive integer factors of 9778 that divides 9778 without a remainder.
1,2,4889,9778
Greatest Common Factor
We found the factors and prime factorization of 9772 and 9778. The biggest common factor number is the GCF number.
So the greatest common factor 9772 and 9778 is 2.
Also check out the Least Common Multiple of 9772 and 9778
(i) The GCF of 9772 and 9778 is associative
GCF of 9772 and 9778 = GCF of 9778 and 9772
1. What is the GCF of 9772 and 9778?
Answer: GCF of 9772 and 9778 is 2.
2. 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.
3. What are the Factors of 9778?
Answer: Factors of 9778 are 1, 2, 4889, 9778. There are 4 integers that are factors of 9778. The greatest factor of 9778 is 9778.
4. How to Find the GCF of 9772 and 9778?
Answer:
Greatest Common Factor of 9772 and 9778 = 2
Step 1: Find the prime factorization of 9772
9772 = 2 x 2 x 7 x 349
Step 2: Find the prime factorization of 9778
9778 = 2 x 4889
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 9772 and 9778 is 2