Greatest Common Factor of 9658 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 9658, 9666 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9658 and 9666 is 2.

GCF(9658,9666) = 2

GCF of 9658 and 9666

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

GCF of:
and

Greatest Common Factor of 9658 and 9666

GCF of 9658 and 9666 is 2

Prime Factorization of 9658


2 9658
11 4829
439 439
1

Prime factors of 9658 are 2,11,439. Prime factorization of 9658 in exponential form is:

9658 = 21×111×4391

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 9658 and 9666 is 2

Greatest Common Factor of 9658 and 9666 by matching factors method

Factors of 9658

List of positive integer factors of 9658 that divides 9658 without a remainder.

1,2,11,22,439,878,4829,9658

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 9658 and 9666. The biggest common factor number is the GCF number.
So the greatest common factor 9658 and 9666 is 2.

Also check out the Least Common Multiple of 9658 and 9666

Properties of GCF 9658 and 9666

(i) The GCF of 9658 and 9666 is associative

GCF of 9658 and 9666 = GCF of 9666 and 9658

Related Greatest Common Factor of 9658

Related Greatest Common Factor of 9666

Frequently Asked Questions on GCF of 9658 and 9666

1. What is the GCF of 9658 and 9666?

Answer: GCF of 9658 and 9666 is 2.

2. What are the Factors of 9658?

Answer: Factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658. There are 8 integers that are factors of 9658. The greatest factor of 9658 is 9658.

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 9658 and 9666?

Answer:

Greatest Common Factor of 9658 and 9666 = 2

Step 1: Find the prime factorization of 9658

9658 = 2 x 11 x 439

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 = 2

Step 4: Therefore, the greatest common factor of 9658 and 9666 is 2