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 9611, 9616 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9611 and 9616 is 1.
GCF(9611,9616) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9611
7 | 9611 |
1373 | 1373 |
1 |
Prime factors of 9611 are 7,1373. Prime factorization of 9611 in exponential form is:
9611 = 71×13731
Prime Factorization of 9616
2 | 9616 |
2 | 4808 |
2 | 2404 |
2 | 1202 |
601 | 601 |
1 |
Prime factors of 9616 are 2,601. Prime factorization of 9616 in exponential form is:
9616 = 24×6011
∴ So by taking common prime factors GCF of 9611 and 9616 is 1
Factors of 9611
List of positive integer factors of 9611 that divides 9611 without a remainder.
1,7,1373,9611
Factors of 9616
List of positive integer factors of 9616 that divides 9616 without a remainder.
1,2,4,8,16,601,1202,2404,4808,9616
Greatest Common Factor
We found the factors and prime factorization of 9611 and 9616. The biggest common factor number is the GCF number.
So the greatest common factor 9611 and 9616 is 1.
Also check out the Least Common Multiple of 9611 and 9616
(i) The GCF of 9611 and 9616 is associative
GCF of 9611 and 9616 = GCF of 9616 and 9611
1. What is the GCF of 9611 and 9616?
Answer: GCF of 9611 and 9616 is 1.
2. What are the Factors of 9611?
Answer: Factors of 9611 are 1, 7, 1373, 9611. There are 4 integers that are factors of 9611. The greatest factor of 9611 is 9611.
3. What are the Factors of 9616?
Answer: Factors of 9616 are 1, 2, 4, 8, 16, 601, 1202, 2404, 4808, 9616. There are 10 integers that are factors of 9616. The greatest factor of 9616 is 9616.
4. How to Find the GCF of 9611 and 9616?
Answer:
Greatest Common Factor of 9611 and 9616 = 1
Step 1: Find the prime factorization of 9611
9611 = 7 x 1373
Step 2: Find the prime factorization of 9616
9616 = 2 x 2 x 2 x 2 x 601
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 9611 and 9616 is 1