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 9651, 9659 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9651 and 9659 is 1.
GCF(9651,9659) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9651
3 | 9651 |
3217 | 3217 |
1 |
Prime factors of 9651 are 3,3217. Prime factorization of 9651 in exponential form is:
9651 = 31×32171
Prime Factorization of 9659
13 | 9659 |
743 | 743 |
1 |
Prime factors of 9659 are 13,743. Prime factorization of 9659 in exponential form is:
9659 = 131×7431
∴ So by taking common prime factors GCF of 9651 and 9659 is 1
Factors of 9651
List of positive integer factors of 9651 that divides 9651 without a remainder.
1,3,3217,9651
Factors of 9659
List of positive integer factors of 9659 that divides 9659 without a remainder.
1,13,743,9659
Greatest Common Factor
We found the factors and prime factorization of 9651 and 9659. The biggest common factor number is the GCF number.
So the greatest common factor 9651 and 9659 is 1.
Also check out the Least Common Multiple of 9651 and 9659
(i) The GCF of 9651 and 9659 is associative
GCF of 9651 and 9659 = GCF of 9659 and 9651
1. What is the GCF of 9651 and 9659?
Answer: GCF of 9651 and 9659 is 1.
2. What are the Factors of 9651?
Answer: Factors of 9651 are 1, 3, 3217, 9651. There are 4 integers that are factors of 9651. The greatest factor of 9651 is 9651.
3. What are the Factors of 9659?
Answer: Factors of 9659 are 1, 13, 743, 9659. There are 4 integers that are factors of 9659. The greatest factor of 9659 is 9659.
4. How to Find the GCF of 9651 and 9659?
Answer:
Greatest Common Factor of 9651 and 9659 = 1
Step 1: Find the prime factorization of 9651
9651 = 3 x 3217
Step 2: Find the prime factorization of 9659
9659 = 13 x 743
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 9651 and 9659 is 1