Greatest Common Factor of 9728 and 9732

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 9728, 9732 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9728 and 9732 is 4.

GCF(9728,9732) = 4

GCF of 9728 and 9732

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

GCF of:
and

Greatest Common Factor of 9728 and 9732

GCF of 9728 and 9732 is 4

Prime Factorization of 9728


2 9728
2 4864
2 2432
2 1216
2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 9728 are 2,19. Prime factorization of 9728 in exponential form is:

9728 = 29×191

Prime Factorization of 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2,3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

∴ So by taking common prime factors GCF of 9728 and 9732 is 4

Greatest Common Factor of 9728 and 9732 by matching factors method

Factors of 9728

List of positive integer factors of 9728 that divides 9728 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728

Factors of 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1,2,3,4,6,12,811,1622,2433,3244,4866,9732

Greatest Common Factor

We found the factors and prime factorization of 9728 and 9732. The biggest common factor number is the GCF number.
So the greatest common factor 9728 and 9732 is 4.

Also check out the Least Common Multiple of 9728 and 9732

Properties of GCF 9728 and 9732

(i) The GCF of 9728 and 9732 is associative

GCF of 9728 and 9732 = GCF of 9732 and 9728

Related Greatest Common Factor of 9728

Related Greatest Common Factor of 9732

Frequently Asked Questions on GCF of 9728 and 9732

1. What is the GCF of 9728 and 9732?

Answer: GCF of 9728 and 9732 is 4.

2. What are the Factors of 9728?

Answer: Factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728. There are 20 integers that are factors of 9728. The greatest factor of 9728 is 9728.

3. What are the Factors of 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

4. How to Find the GCF of 9728 and 9732?

Answer:

Greatest Common Factor of 9728 and 9732 = 4

Step 1: Find the prime factorization of 9728

9728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

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 9728 and 9732 is 4