Greatest Common Factor of 9728 and 9734

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, 9734 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9728 and 9734 is 2.

GCF(9728,9734) = 2

GCF of 9728 and 9734

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

GCF of:
and

Greatest Common Factor of 9728 and 9734

GCF of 9728 and 9734 is 2

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 9734


2 9734
31 4867
157 157
1

Prime factors of 9734 are 2,31,157. Prime factorization of 9734 in exponential form is:

9734 = 21×311×1571

∴ So by taking common prime factors GCF of 9728 and 9734 is 2

Greatest Common Factor of 9728 and 9734 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 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1,2,31,62,157,314,4867,9734

Greatest Common Factor

We found the factors and prime factorization of 9728 and 9734. The biggest common factor number is the GCF number.
So the greatest common factor 9728 and 9734 is 2.

Also check out the Least Common Multiple of 9728 and 9734

Properties of GCF 9728 and 9734

(i) The GCF of 9728 and 9734 is associative

GCF of 9728 and 9734 = GCF of 9734 and 9728

Related Greatest Common Factor of 9728

Related Greatest Common Factor of 9734

Frequently Asked Questions on GCF of 9728 and 9734

1. What is the GCF of 9728 and 9734?

Answer: GCF of 9728 and 9734 is 2.

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 9734?

Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.

4. How to Find the GCF of 9728 and 9734?

Answer:

Greatest Common Factor of 9728 and 9734 = 2

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 9734

9734 = 2 x 31 x 157

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 9728 and 9734 is 2