Greatest Common Factor of 9540 and 9542

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 9540, 9542 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9540 and 9542 is 2.

GCF(9540,9542) = 2

GCF of 9540 and 9542

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

GCF of:
and

Greatest Common Factor of 9540 and 9542

GCF of 9540 and 9542 is 2

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

Prime Factorization of 9542


2 9542
13 4771
367 367
1

Prime factors of 9542 are 2,13,367. Prime factorization of 9542 in exponential form is:

9542 = 21×131×3671

∴ So by taking common prime factors GCF of 9540 and 9542 is 2

Greatest Common Factor of 9540 and 9542 by matching factors method

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

Factors of 9542

List of positive integer factors of 9542 that divides 9542 without a remainder.

1,2,13,26,367,734,4771,9542

Greatest Common Factor

We found the factors and prime factorization of 9540 and 9542. The biggest common factor number is the GCF number.
So the greatest common factor 9540 and 9542 is 2.

Also check out the Least Common Multiple of 9540 and 9542

Properties of GCF 9540 and 9542

(i) The GCF of 9540 and 9542 is associative

GCF of 9540 and 9542 = GCF of 9542 and 9540

Related Greatest Common Factor of 9540

Related Greatest Common Factor of 9542

Frequently Asked Questions on GCF of 9540 and 9542

1. What is the GCF of 9540 and 9542?

Answer: GCF of 9540 and 9542 is 2.

2. 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.

3. What are the Factors of 9542?

Answer: Factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542. There are 8 integers that are factors of 9542. The greatest factor of 9542 is 9542.

4. How to Find the GCF of 9540 and 9542?

Answer:

Greatest Common Factor of 9540 and 9542 = 2

Step 1: Find the prime factorization of 9540

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

Step 2: Find the prime factorization of 9542

9542 = 2 x 13 x 367

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 9540 and 9542 is 2