Greatest Common Factor of 9662 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 9662, 9666 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9662 and 9666 is 2.

GCF(9662,9666) = 2

GCF of 9662 and 9666

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

GCF of:
and

Greatest Common Factor of 9662 and 9666

GCF of 9662 and 9666 is 2

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 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 9662 and 9666 is 2

Greatest Common Factor of 9662 and 9666 by matching factors method

Factors of 9662

List of positive integer factors of 9662 that divides 9662 without a remainder.

1,2,4831,9662

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 9662 and 9666. The biggest common factor number is the GCF number.
So the greatest common factor 9662 and 9666 is 2.

Also check out the Least Common Multiple of 9662 and 9666

Properties of GCF 9662 and 9666

(i) The GCF of 9662 and 9666 is associative

GCF of 9662 and 9666 = GCF of 9666 and 9662

Related Greatest Common Factor of 9662

Related Greatest Common Factor of 9666

Frequently Asked Questions on GCF of 9662 and 9666

1. What is the GCF of 9662 and 9666?

Answer: GCF of 9662 and 9666 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 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 9662 and 9666?

Answer:

Greatest Common Factor of 9662 and 9666 = 2

Step 1: Find the prime factorization of 9662

9662 = 2 x 4831

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 9662 and 9666 is 2