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 9604, 9610 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9604 and 9610 is 2.
GCF(9604,9610) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9604
2 | 9604 |
2 | 4802 |
7 | 2401 |
7 | 343 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 9604 are 2,7. Prime factorization of 9604 in exponential form is:
9604 = 22×74
Prime Factorization of 9610
2 | 9610 |
5 | 4805 |
31 | 961 |
31 | 31 |
1 |
Prime factors of 9610 are 2,5,31. Prime factorization of 9610 in exponential form is:
9610 = 21×51×312
∴ So by taking common prime factors GCF of 9604 and 9610 is 2
Factors of 9604
List of positive integer factors of 9604 that divides 9604 without a remainder.
1,2,4,7,14,28,49,98,196,343,686,1372,2401,4802,9604
Factors of 9610
List of positive integer factors of 9610 that divides 9610 without a remainder.
1,2,5,10,31,62,155,310,961,1922,4805,9610
Greatest Common Factor
We found the factors and prime factorization of 9604 and 9610. The biggest common factor number is the GCF number.
So the greatest common factor 9604 and 9610 is 2.
Also check out the Least Common Multiple of 9604 and 9610
(i) The GCF of 9604 and 9610 is associative
GCF of 9604 and 9610 = GCF of 9610 and 9604
1. What is the GCF of 9604 and 9610?
Answer: GCF of 9604 and 9610 is 2.
2. What are the Factors of 9604?
Answer: Factors of 9604 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604. There are 15 integers that are factors of 9604. The greatest factor of 9604 is 9604.
3. What are the Factors of 9610?
Answer: Factors of 9610 are 1, 2, 5, 10, 31, 62, 155, 310, 961, 1922, 4805, 9610. There are 12 integers that are factors of 9610. The greatest factor of 9610 is 9610.
4. How to Find the GCF of 9604 and 9610?
Answer:
Greatest Common Factor of 9604 and 9610 = 2
Step 1: Find the prime factorization of 9604
9604 = 2 x 2 x 7 x 7 x 7 x 7
Step 2: Find the prime factorization of 9610
9610 = 2 x 5 x 31 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9604 and 9610 is 2