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 9650, 9657 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9650 and 9657 is 1.
GCF(9650,9657) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9650
2 | 9650 |
5 | 4825 |
5 | 965 |
193 | 193 |
1 |
Prime factors of 9650 are 2,5,193. Prime factorization of 9650 in exponential form is:
9650 = 21×52×1931
Prime Factorization of 9657
3 | 9657 |
3 | 3219 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 9657 are 3,29,37. Prime factorization of 9657 in exponential form is:
9657 = 32×291×371
∴ So by taking common prime factors GCF of 9650 and 9657 is 1
Factors of 9650
List of positive integer factors of 9650 that divides 9650 without a remainder.
1,2,5,10,25,50,193,386,965,1930,4825,9650
Factors of 9657
List of positive integer factors of 9657 that divides 9657 without a remainder.
1,3,9,29,37,87,111,261,333,1073,3219,9657
Greatest Common Factor
We found the factors and prime factorization of 9650 and 9657. The biggest common factor number is the GCF number.
So the greatest common factor 9650 and 9657 is 1.
Also check out the Least Common Multiple of 9650 and 9657
(i) The GCF of 9650 and 9657 is associative
GCF of 9650 and 9657 = GCF of 9657 and 9650
1. What is the GCF of 9650 and 9657?
Answer: GCF of 9650 and 9657 is 1.
2. What are the Factors of 9650?
Answer: Factors of 9650 are 1, 2, 5, 10, 25, 50, 193, 386, 965, 1930, 4825, 9650. There are 12 integers that are factors of 9650. The greatest factor of 9650 is 9650.
3. What are the Factors of 9657?
Answer: Factors of 9657 are 1, 3, 9, 29, 37, 87, 111, 261, 333, 1073, 3219, 9657. There are 12 integers that are factors of 9657. The greatest factor of 9657 is 9657.
4. How to Find the GCF of 9650 and 9657?
Answer:
Greatest Common Factor of 9650 and 9657 = 1
Step 1: Find the prime factorization of 9650
9650 = 2 x 5 x 5 x 193
Step 2: Find the prime factorization of 9657
9657 = 3 x 3 x 29 x 37
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 9650 and 9657 is 1