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, 9667 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9662 and 9667 is 1.
GCF(9662,9667) = 1
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 9667
7 | 9667 |
1381 | 1381 |
1 |
Prime factors of 9667 are 7,1381. Prime factorization of 9667 in exponential form is:
9667 = 71×13811
∴ So by taking common prime factors GCF of 9662 and 9667 is 1
Factors of 9662
List of positive integer factors of 9662 that divides 9662 without a remainder.
1,2,4831,9662
Factors of 9667
List of positive integer factors of 9667 that divides 9667 without a remainder.
1,7,1381,9667
Greatest Common Factor
We found the factors and prime factorization of 9662 and 9667. The biggest common factor number is the GCF number.
So the greatest common factor 9662 and 9667 is 1.
Also check out the Least Common Multiple of 9662 and 9667
(i) The GCF of 9662 and 9667 is associative
GCF of 9662 and 9667 = GCF of 9667 and 9662
1. What is the GCF of 9662 and 9667?
Answer: GCF of 9662 and 9667 is 1.
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 9667?
Answer: Factors of 9667 are 1, 7, 1381, 9667. There are 4 integers that are factors of 9667. The greatest factor of 9667 is 9667.
4. How to Find the GCF of 9662 and 9667?
Answer:
Greatest Common Factor of 9662 and 9667 = 1
Step 1: Find the prime factorization of 9662
9662 = 2 x 4831
Step 2: Find the prime factorization of 9667
9667 = 7 x 1381
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9662 and 9667 is 1