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 9662, 9668 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9662 and 9668 is 2.
GCF(9662,9668) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9662
2 | 9662 |
4831 | 4831 |
1 |
Prime factors of 9662 are 2,4831. Prime factorization of 9662 in exponential form is:
9662 = 21×48311
Prime Factorization of 9668
2 | 9668 |
2 | 4834 |
2417 | 2417 |
1 |
Prime factors of 9668 are 2,2417. Prime factorization of 9668 in exponential form is:
9668 = 22×24171
∴ So by taking common prime factors GCF of 9662 and 9668 is 2
Factors of 9662
List of positive integer factors of 9662 that divides 9662 without a remainder.
1,2,4831,9662
Factors of 9668
List of positive integer factors of 9668 that divides 9668 without a remainder.
1,2,4,2417,4834,9668
Greatest Common Factor
We found the factors and prime factorization of 9662 and 9668. The biggest common factor number is the GCF number.
So the greatest common factor 9662 and 9668 is 2.
Also check out the Least Common Multiple of 9662 and 9668
(i) The GCF of 9662 and 9668 is associative
GCF of 9662 and 9668 = GCF of 9668 and 9662
1. What is the GCF of 9662 and 9668?
Answer: GCF of 9662 and 9668 is 2.
2. What are the Factors of 9662?
Answer: Factors of 9662 are 1, 2, 4831, 9662. There are 4 integers that are factors of 9662. The greatest factor of 9662 is 9662.
3. What are the Factors of 9668?
Answer: Factors of 9668 are 1, 2, 4, 2417, 4834, 9668. There are 6 integers that are factors of 9668. The greatest factor of 9668 is 9668.
4. How to Find the GCF of 9662 and 9668?
Answer:
Greatest Common Factor of 9662 and 9668 = 2
Step 1: Find the prime factorization of 9662
9662 = 2 x 4831
Step 2: Find the prime factorization of 9668
9668 = 2 x 2 x 2417
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 9662 and 9668 is 2