Greatest Common Factor of 9666 and 9667

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 9666, 9667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9666 and 9667 is 1.

GCF(9666,9667) = 1

GCF of 9666 and 9667

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 9666 and 9667

GCF of 9666 and 9667 is 1

Prime Factorization of 9666


2 9666
3 4833
3 1611
3 537
179 179
1

Prime factors of 9666 are 2,3,179. Prime factorization of 9666 in exponential form is:

9666 = 21×33×1791

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 9666 and 9667 is 1

Greatest Common Factor of 9666 and 9667 by matching factors method

Factors of 9666

List of positive integer factors of 9666 that divides 9666 without a remainder.

1,2,3,6,9,18,27,54,179,358,537,1074,1611,3222,4833,9666

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 9666 and 9667. The biggest common factor number is the GCF number.
So the greatest common factor 9666 and 9667 is 1.

Also check out the Least Common Multiple of 9666 and 9667

Properties of GCF 9666 and 9667

(i) The GCF of 9666 and 9667 is associative

GCF of 9666 and 9667 = GCF of 9667 and 9666

Related Greatest Common Factor of 9666

Related Greatest Common Factor of 9667

Frequently Asked Questions on GCF of 9666 and 9667

1. What is the GCF of 9666 and 9667?

Answer: GCF of 9666 and 9667 is 1.

2. What are the Factors of 9666?

Answer: Factors of 9666 are 1, 2, 3, 6, 9, 18, 27, 54, 179, 358, 537, 1074, 1611, 3222, 4833, 9666. There are 16 integers that are factors of 9666. The greatest factor of 9666 is 9666.

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 9666 and 9667?

Answer:

Greatest Common Factor of 9666 and 9667 = 1

Step 1: Find the prime factorization of 9666

9666 = 2 x 3 x 3 x 3 x 179

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 9666 and 9667 is 1