Greatest Common Factor of 9660 and 9664

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 9660, 9664 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9660 and 9664 is 4.

GCF(9660,9664) = 4

GCF of 9660 and 9664

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

GCF of:
and

Greatest Common Factor of 9660 and 9664

GCF of 9660 and 9664 is 4

Prime Factorization of 9660


2 9660
2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 9660 are 2,3,5,7,23. Prime factorization of 9660 in exponential form is:

9660 = 22×31×51×71×231

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

∴ So by taking common prime factors GCF of 9660 and 9664 is 4

Greatest Common Factor of 9660 and 9664 by matching factors method

Factors of 9660

List of positive integer factors of 9660 that divides 9660 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,23,28,30,35,42,46,60,69,70,84,92,105,115,138,140,161,210,230,276,322,345,420,460,483,644,690,805,966,1380,1610,1932,2415,3220,4830,9660

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

Greatest Common Factor

We found the factors and prime factorization of 9660 and 9664. The biggest common factor number is the GCF number.
So the greatest common factor 9660 and 9664 is 4.

Also check out the Least Common Multiple of 9660 and 9664

Properties of GCF 9660 and 9664

(i) The GCF of 9660 and 9664 is associative

GCF of 9660 and 9664 = GCF of 9664 and 9660

Related Greatest Common Factor of 9660

Related Greatest Common Factor of 9664

Frequently Asked Questions on GCF of 9660 and 9664

1. What is the GCF of 9660 and 9664?

Answer: GCF of 9660 and 9664 is 4.

2. What are the Factors of 9660?

Answer: Factors of 9660 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 23, 28, 30, 35, 42, 46, 60, 69, 70, 84, 92, 105, 115, 138, 140, 161, 210, 230, 276, 322, 345, 420, 460, 483, 644, 690, 805, 966, 1380, 1610, 1932, 2415, 3220, 4830, 9660. There are 48 integers that are factors of 9660. The greatest factor of 9660 is 9660.

3. 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.

4. How to Find the GCF of 9660 and 9664?

Answer:

Greatest Common Factor of 9660 and 9664 = 4

Step 1: Find the prime factorization of 9660

9660 = 2 x 2 x 3 x 5 x 7 x 23

Step 2: Find the prime factorization of 9664

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

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 9660 and 9664 is 4