Greatest Common Factor of 9536 and 9540

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 9536, 9540 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9536 and 9540 is 4.

GCF(9536,9540) = 4

GCF of 9536 and 9540

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

GCF of:
and

Greatest Common Factor of 9536 and 9540

GCF of 9536 and 9540 is 4

Prime Factorization of 9536


2 9536
2 4768
2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 9536 are 2,149. Prime factorization of 9536 in exponential form is:

9536 = 26×1491

Prime Factorization of 9540


2 9540
2 4770
3 2385
3 795
5 265
53 53
1

Prime factors of 9540 are 2,3,5,53. Prime factorization of 9540 in exponential form is:

9540 = 22×32×51×531

∴ So by taking common prime factors GCF of 9536 and 9540 is 4

Greatest Common Factor of 9536 and 9540 by matching factors method

Factors of 9536

List of positive integer factors of 9536 that divides 9536 without a remainder.

1,2,4,8,16,32,64,149,298,596,1192,2384,4768,9536

Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540

Greatest Common Factor

We found the factors and prime factorization of 9536 and 9540. The biggest common factor number is the GCF number.
So the greatest common factor 9536 and 9540 is 4.

Also check out the Least Common Multiple of 9536 and 9540

Properties of GCF 9536 and 9540

(i) The GCF of 9536 and 9540 is associative

GCF of 9536 and 9540 = GCF of 9540 and 9536

Related Greatest Common Factor of 9536

Related Greatest Common Factor of 9540

Frequently Asked Questions on GCF of 9536 and 9540

1. What is the GCF of 9536 and 9540?

Answer: GCF of 9536 and 9540 is 4.

2. What are the Factors of 9536?

Answer: Factors of 9536 are 1, 2, 4, 8, 16, 32, 64, 149, 298, 596, 1192, 2384, 4768, 9536. There are 14 integers that are factors of 9536. The greatest factor of 9536 is 9536.

3. What are the Factors of 9540?

Answer: Factors of 9540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770, 9540. There are 36 integers that are factors of 9540. The greatest factor of 9540 is 9540.

4. How to Find the GCF of 9536 and 9540?

Answer:

Greatest Common Factor of 9536 and 9540 = 4

Step 1: Find the prime factorization of 9536

9536 = 2 x 2 x 2 x 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 9540

9540 = 2 x 2 x 3 x 3 x 5 x 53

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 9536 and 9540 is 4