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 9610, 9614 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9610 and 9614 is 2.
GCF(9610,9614) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9614
2 | 9614 |
11 | 4807 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 9614 are 2,11,19,23. Prime factorization of 9614 in exponential form is:
9614 = 21×111×191×231
∴ So by taking common prime factors GCF of 9610 and 9614 is 2
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
Factors of 9614
List of positive integer factors of 9614 that divides 9614 without a remainder.
1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors and prime factorization of 9610 and 9614. The biggest common factor number is the GCF number.
So the greatest common factor 9610 and 9614 is 2.
Also check out the Least Common Multiple of 9610 and 9614
(i) The GCF of 9610 and 9614 is associative
GCF of 9610 and 9614 = GCF of 9614 and 9610
1. What is the GCF of 9610 and 9614?
Answer: GCF of 9610 and 9614 is 2.
2. 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.
3. What are the Factors of 9614?
Answer: Factors of 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614. There are 16 integers that are factors of 9614. The greatest factor of 9614 is 9614.
4. How to Find the GCF of 9610 and 9614?
Answer:
Greatest Common Factor of 9610 and 9614 = 2
Step 1: Find the prime factorization of 9610
9610 = 2 x 5 x 31 x 31
Step 2: Find the prime factorization of 9614
9614 = 2 x 11 x 19 x 23
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 9610 and 9614 is 2