Greatest Common Factor of 9538 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 9538, 9544 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9538 and 9544 is 2.

GCF(9538,9544) = 2

GCF of 9538 and 9544

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

GCF of:
and

Greatest Common Factor of 9538 and 9544

GCF of 9538 and 9544 is 2

Prime Factorization of 9538


2 9538
19 4769
251 251
1

Prime factors of 9538 are 2,19,251. Prime factorization of 9538 in exponential form is:

9538 = 21×191×2511

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 9538 and 9544 is 2

Greatest Common Factor of 9538 and 9544 by matching factors method

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1,2,19,38,251,502,4769,9538

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 9538 and 9544. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9544 is 2.

Also check out the Least Common Multiple of 9538 and 9544

Properties of GCF 9538 and 9544

(i) The GCF of 9538 and 9544 is associative

GCF of 9538 and 9544 = GCF of 9544 and 9538

Related Greatest Common Factor of 9538

Related Greatest Common Factor of 9544

Frequently Asked Questions on GCF of 9538 and 9544

1. What is the GCF of 9538 and 9544?

Answer: GCF of 9538 and 9544 is 2.

2. What are the Factors of 9538?

Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.

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 9538 and 9544?

Answer:

Greatest Common Factor of 9538 and 9544 = 2

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

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 9538 and 9544 is 2