Greatest Common Factor of 9664 and 9668

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 9664, 9668 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9664 and 9668 is 4.

GCF(9664,9668) = 4

GCF of 9664 and 9668

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

GCF of:
and

Greatest Common Factor of 9664 and 9668

GCF of 9664 and 9668 is 4

Prime Factorization of 9664


2 9664
2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 9664 are 2,151. Prime factorization of 9664 in exponential form is:

9664 = 26×1511

Prime Factorization of 9668


2 9668
2 4834
2417 2417
1

Prime factors of 9668 are 2,2417. Prime factorization of 9668 in exponential form is:

9668 = 22×24171

∴ So by taking common prime factors GCF of 9664 and 9668 is 4

Greatest Common Factor of 9664 and 9668 by matching factors method

Factors of 9664

List of positive integer factors of 9664 that divides 9664 without a remainder.

1,2,4,8,16,32,64,151,302,604,1208,2416,4832,9664

Factors of 9668

List of positive integer factors of 9668 that divides 9668 without a remainder.

1,2,4,2417,4834,9668

Greatest Common Factor

We found the factors and prime factorization of 9664 and 9668. The biggest common factor number is the GCF number.
So the greatest common factor 9664 and 9668 is 4.

Also check out the Least Common Multiple of 9664 and 9668

Properties of GCF 9664 and 9668

(i) The GCF of 9664 and 9668 is associative

GCF of 9664 and 9668 = GCF of 9668 and 9664

Related Greatest Common Factor of 9664

Related Greatest Common Factor of 9668

Frequently Asked Questions on GCF of 9664 and 9668

1. What is the GCF of 9664 and 9668?

Answer: GCF of 9664 and 9668 is 4.

2. What are the Factors of 9664?

Answer: Factors of 9664 are 1, 2, 4, 8, 16, 32, 64, 151, 302, 604, 1208, 2416, 4832, 9664. There are 14 integers that are factors of 9664. The greatest factor of 9664 is 9664.

3. What are the Factors of 9668?

Answer: Factors of 9668 are 1, 2, 4, 2417, 4834, 9668. There are 6 integers that are factors of 9668. The greatest factor of 9668 is 9668.

4. How to Find the GCF of 9664 and 9668?

Answer:

Greatest Common Factor of 9664 and 9668 = 4

Step 1: Find the prime factorization of 9664

9664 = 2 x 2 x 2 x 2 x 2 x 2 x 151

Step 2: Find the prime factorization of 9668

9668 = 2 x 2 x 2417

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 9664 and 9668 is 4