Greatest Common Factor of 9664 and 9672

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, 9672 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9664 and 9672 is 8.

GCF(9664,9672) = 8

GCF of 9664 and 9672

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

GCF of:
and

Greatest Common Factor of 9664 and 9672

GCF of 9664 and 9672 is 8

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 9672


2 9672
2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 9672 are 2,3,13,31. Prime factorization of 9672 in exponential form is:

9672 = 23×31×131×311

∴ So by taking common prime factors GCF of 9664 and 9672 is 8

Greatest Common Factor of 9664 and 9672 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 9672

List of positive integer factors of 9672 that divides 9672 without a remainder.

1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672

Greatest Common Factor

We found the factors and prime factorization of 9664 and 9672. The biggest common factor number is the GCF number.
So the greatest common factor 9664 and 9672 is 8.

Also check out the Least Common Multiple of 9664 and 9672

Properties of GCF 9664 and 9672

(i) The GCF of 9664 and 9672 is associative

GCF of 9664 and 9672 = GCF of 9672 and 9664

Related Greatest Common Factor of 9664

Related Greatest Common Factor of 9672

Frequently Asked Questions on GCF of 9664 and 9672

1. What is the GCF of 9664 and 9672?

Answer: GCF of 9664 and 9672 is 8.

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 9672?

Answer: Factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672. There are 32 integers that are factors of 9672. The greatest factor of 9672 is 9672.

4. How to Find the GCF of 9664 and 9672?

Answer:

Greatest Common Factor of 9664 and 9672 = 8

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 9672

9672 = 2 x 2 x 2 x 3 x 13 x 31

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 9664 and 9672 is 8