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 9639, 9647 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9639 and 9647 is 1.
GCF(9639,9647) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9639
3 | 9639 |
3 | 3213 |
3 | 1071 |
3 | 357 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 9639 are 3,7,17. Prime factorization of 9639 in exponential form is:
9639 = 34×71×171
Prime Factorization of 9647
11 | 9647 |
877 | 877 |
1 |
Prime factors of 9647 are 11,877. Prime factorization of 9647 in exponential form is:
9647 = 111×8771
∴ So by taking common prime factors GCF of 9639 and 9647 is 1
Factors of 9639
List of positive integer factors of 9639 that divides 9639 without a remainder.
1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Factors of 9647
List of positive integer factors of 9647 that divides 9647 without a remainder.
1,11,877,9647
Greatest Common Factor
We found the factors and prime factorization of 9639 and 9647. The biggest common factor number is the GCF number.
So the greatest common factor 9639 and 9647 is 1.
Also check out the Least Common Multiple of 9639 and 9647
(i) The GCF of 9639 and 9647 is associative
GCF of 9639 and 9647 = GCF of 9647 and 9639
1. What is the GCF of 9639 and 9647?
Answer: GCF of 9639 and 9647 is 1.
2. What are the Factors of 9639?
Answer: Factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639. There are 20 integers that are factors of 9639. The greatest factor of 9639 is 9639.
3. What are the Factors of 9647?
Answer: Factors of 9647 are 1, 11, 877, 9647. There are 4 integers that are factors of 9647. The greatest factor of 9647 is 9647.
4. How to Find the GCF of 9639 and 9647?
Answer:
Greatest Common Factor of 9639 and 9647 = 1
Step 1: Find the prime factorization of 9639
9639 = 3 x 3 x 3 x 3 x 7 x 17
Step 2: Find the prime factorization of 9647
9647 = 11 x 877
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 9639 and 9647 is 1