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 9634, 9639 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9634 and 9639 is 1.
GCF(9634,9639) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9634
2 | 9634 |
4817 | 4817 |
1 |
Prime factors of 9634 are 2,4817. Prime factorization of 9634 in exponential form is:
9634 = 21×48171
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
∴ So by taking common prime factors GCF of 9634 and 9639 is 1
Factors of 9634
List of positive integer factors of 9634 that divides 9634 without a remainder.
1,2,4817,9634
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
Greatest Common Factor
We found the factors and prime factorization of 9634 and 9639. The biggest common factor number is the GCF number.
So the greatest common factor 9634 and 9639 is 1.
Also check out the Least Common Multiple of 9634 and 9639
(i) The GCF of 9634 and 9639 is associative
GCF of 9634 and 9639 = GCF of 9639 and 9634
1. What is the GCF of 9634 and 9639?
Answer: GCF of 9634 and 9639 is 1.
2. What are the Factors of 9634?
Answer: Factors of 9634 are 1, 2, 4817, 9634. There are 4 integers that are factors of 9634. The greatest factor of 9634 is 9634.
3. 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.
4. How to Find the GCF of 9634 and 9639?
Answer:
Greatest Common Factor of 9634 and 9639 = 1
Step 1: Find the prime factorization of 9634
9634 = 2 x 4817
Step 2: Find the prime factorization of 9639
9639 = 3 x 3 x 3 x 3 x 7 x 17
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 9634 and 9639 is 1