Greatest Common Factor of 9542 and 9544

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 9542, 9544 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9542 and 9544 is 2.

GCF(9542,9544) = 2

GCF of 9542 and 9544

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

GCF of:
and

Greatest Common Factor of 9542 and 9544

GCF of 9542 and 9544 is 2

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

Prime Factorization of 9544


2 9544
2 4772
2 2386
1193 1193
1

Prime factors of 9544 are 2,1193. Prime factorization of 9544 in exponential form is:

9544 = 23×11931

∴ So by taking common prime factors GCF of 9542 and 9544 is 2

Greatest Common Factor of 9542 and 9544 by matching factors method

Factors of 9542

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

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

Factors of 9544

List of positive integer factors of 9544 that divides 9544 without a remainder.

1,2,4,8,1193,2386,4772,9544

Greatest Common Factor

We found the factors and prime factorization of 9542 and 9544. The biggest common factor number is the GCF number.
So the greatest common factor 9542 and 9544 is 2.

Also check out the Least Common Multiple of 9542 and 9544

Properties of GCF 9542 and 9544

(i) The GCF of 9542 and 9544 is associative

GCF of 9542 and 9544 = GCF of 9544 and 9542

Related Greatest Common Factor of 9542

Related Greatest Common Factor of 9544

Frequently Asked Questions on GCF of 9542 and 9544

1. What is the GCF of 9542 and 9544?

Answer: GCF of 9542 and 9544 is 2.

2. 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.

3. What are the Factors of 9544?

Answer: Factors of 9544 are 1, 2, 4, 8, 1193, 2386, 4772, 9544. There are 8 integers that are factors of 9544. The greatest factor of 9544 is 9544.

4. How to Find the GCF of 9542 and 9544?

Answer:

Greatest Common Factor of 9542 and 9544 = 2

Step 1: Find the prime factorization of 9542

9542 = 2 x 13 x 367

Step 2: Find the prime factorization of 9544

9544 = 2 x 2 x 2 x 1193

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 9542 and 9544 is 2