Greatest Common Factor of 9659 and 9666

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 9659, 9666 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9659 and 9666 is 1.

GCF(9659,9666) = 1

GCF of 9659 and 9666

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

GCF of:
and

Greatest Common Factor of 9659 and 9666

GCF of 9659 and 9666 is 1

Prime Factorization of 9659


13 9659
743 743
1

Prime factors of 9659 are 13,743. Prime factorization of 9659 in exponential form is:

9659 = 131×7431

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

∴ So by taking common prime factors GCF of 9659 and 9666 is 1

Greatest Common Factor of 9659 and 9666 by matching factors method

Factors of 9659

List of positive integer factors of 9659 that divides 9659 without a remainder.

1,13,743,9659

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

Greatest Common Factor

We found the factors and prime factorization of 9659 and 9666. The biggest common factor number is the GCF number.
So the greatest common factor 9659 and 9666 is 1.

Also check out the Least Common Multiple of 9659 and 9666

Properties of GCF 9659 and 9666

(i) The GCF of 9659 and 9666 is associative

GCF of 9659 and 9666 = GCF of 9666 and 9659

Related Greatest Common Factor of 9659

Related Greatest Common Factor of 9666

Frequently Asked Questions on GCF of 9659 and 9666

1. What is the GCF of 9659 and 9666?

Answer: GCF of 9659 and 9666 is 1.

2. What are the Factors of 9659?

Answer: Factors of 9659 are 1, 13, 743, 9659. There are 4 integers that are factors of 9659. The greatest factor of 9659 is 9659.

3. 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.

4. How to Find the GCF of 9659 and 9666?

Answer:

Greatest Common Factor of 9659 and 9666 = 1

Step 1: Find the prime factorization of 9659

9659 = 13 x 743

Step 2: Find the prime factorization of 9666

9666 = 2 x 3 x 3 x 3 x 179

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 9659 and 9666 is 1