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 9694, 9698 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9694 and 9698 is 2.
GCF(9694,9698) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9694
2 | 9694 |
37 | 4847 |
131 | 131 |
1 |
Prime factors of 9694 are 2,37,131. Prime factorization of 9694 in exponential form is:
9694 = 21×371×1311
Prime Factorization of 9698
2 | 9698 |
13 | 4849 |
373 | 373 |
1 |
Prime factors of 9698 are 2,13,373. Prime factorization of 9698 in exponential form is:
9698 = 21×131×3731
∴ So by taking common prime factors GCF of 9694 and 9698 is 2
Factors of 9694
List of positive integer factors of 9694 that divides 9694 without a remainder.
1,2,37,74,131,262,4847,9694
Factors of 9698
List of positive integer factors of 9698 that divides 9698 without a remainder.
1,2,13,26,373,746,4849,9698
Greatest Common Factor
We found the factors and prime factorization of 9694 and 9698. The biggest common factor number is the GCF number.
So the greatest common factor 9694 and 9698 is 2.
Also check out the Least Common Multiple of 9694 and 9698
(i) The GCF of 9694 and 9698 is associative
GCF of 9694 and 9698 = GCF of 9698 and 9694
1. What is the GCF of 9694 and 9698?
Answer: GCF of 9694 and 9698 is 2.
2. What are the Factors of 9694?
Answer: Factors of 9694 are 1, 2, 37, 74, 131, 262, 4847, 9694. There are 8 integers that are factors of 9694. The greatest factor of 9694 is 9694.
3. What are the Factors of 9698?
Answer: Factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698. There are 8 integers that are factors of 9698. The greatest factor of 9698 is 9698.
4. How to Find the GCF of 9694 and 9698?
Answer:
Greatest Common Factor of 9694 and 9698 = 2
Step 1: Find the prime factorization of 9694
9694 = 2 x 37 x 131
Step 2: Find the prime factorization of 9698
9698 = 2 x 13 x 373
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 9694 and 9698 is 2