Greatest Common Factor of 9538 and 9539

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, 9539 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9538 and 9539 is 1.

GCF(9538,9539) = 1

GCF of 9538 and 9539

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

GCF of:
and

Greatest Common Factor of 9538 and 9539

GCF of 9538 and 9539 is 1

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 9539


9539 9539
1

Prime factors of 9539 are 9539. Prime factorization of 9539 in exponential form is:

9539 = 95391

∴ So by taking common prime factors GCF of 9538 and 9539 is 1

Greatest Common Factor of 9538 and 9539 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 9539

List of positive integer factors of 9539 that divides 9539 without a remainder.

1,9539

Greatest Common Factor

We found the factors and prime factorization of 9538 and 9539. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9539 is 1.

Also check out the Least Common Multiple of 9538 and 9539

Properties of GCF 9538 and 9539

(i) The GCF of 9538 and 9539 is associative

GCF of 9538 and 9539 = GCF of 9539 and 9538

Related Greatest Common Factor of 9538

Related Greatest Common Factor of 9539

Frequently Asked Questions on GCF of 9538 and 9539

1. What is the GCF of 9538 and 9539?

Answer: GCF of 9538 and 9539 is 1.

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 9539?

Answer: Factors of 9539 are 1, 9539. There are 2 integers that are factors of 9539. The greatest factor of 9539 is 9539.

4. How to Find the GCF of 9538 and 9539?

Answer:

Greatest Common Factor of 9538 and 9539 = 1

Step 1: Find the prime factorization of 9538

9538 = 2 x 19 x 251

Step 2: Find the prime factorization of 9539

9539 = 9539

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9538 and 9539 is 1