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, 9655 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9650 and 9655 is 5.
GCF(9650,9655) = 5
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 9655
5 | 9655 |
1931 | 1931 |
1 |
Prime factors of 9655 are 5,1931. Prime factorization of 9655 in exponential form is:
9655 = 51×19311
∴ So by taking common prime factors GCF of 9650 and 9655 is 5
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 9655
List of positive integer factors of 9655 that divides 9655 without a remainder.
1,5,1931,9655
Greatest Common Factor
We found the factors and prime factorization of 9650 and 9655. The biggest common factor number is the GCF number.
So the greatest common factor 9650 and 9655 is 5.
Also check out the Least Common Multiple of 9650 and 9655
(i) The GCF of 9650 and 9655 is associative
GCF of 9650 and 9655 = GCF of 9655 and 9650
1. What is the GCF of 9650 and 9655?
Answer: GCF of 9650 and 9655 is 5.
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 9655?
Answer: Factors of 9655 are 1, 5, 1931, 9655. There are 4 integers that are factors of 9655. The greatest factor of 9655 is 9655.
4. How to Find the GCF of 9650 and 9655?
Answer:
Greatest Common Factor of 9650 and 9655 = 5
Step 1: Find the prime factorization of 9650
9650 = 2 x 5 x 5 x 193
Step 2: Find the prime factorization of 9655
9655 = 5 x 1931
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 9650 and 9655 is 5