Greatest Common Factor of 9532 and 9538

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 9532, 9538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9532 and 9538 is 2.

GCF(9532,9538) = 2

GCF of 9532 and 9538

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

GCF of:
and

Greatest Common Factor of 9532 and 9538

GCF of 9532 and 9538 is 2

Prime Factorization of 9532


2 9532
2 4766
2383 2383
1

Prime factors of 9532 are 2,2383. Prime factorization of 9532 in exponential form is:

9532 = 22×23831

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

∴ So by taking common prime factors GCF of 9532 and 9538 is 2

Greatest Common Factor of 9532 and 9538 by matching factors method

Factors of 9532

List of positive integer factors of 9532 that divides 9532 without a remainder.

1,2,4,2383,4766,9532

Factors of 9538

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

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

Greatest Common Factor

We found the factors and prime factorization of 9532 and 9538. The biggest common factor number is the GCF number.
So the greatest common factor 9532 and 9538 is 2.

Also check out the Least Common Multiple of 9532 and 9538

Properties of GCF 9532 and 9538

(i) The GCF of 9532 and 9538 is associative

GCF of 9532 and 9538 = GCF of 9538 and 9532

Related Greatest Common Factor of 9532

Related Greatest Common Factor of 9538

Frequently Asked Questions on GCF of 9532 and 9538

1. What is the GCF of 9532 and 9538?

Answer: GCF of 9532 and 9538 is 2.

2. What are the Factors of 9532?

Answer: Factors of 9532 are 1, 2, 4, 2383, 4766, 9532. There are 6 integers that are factors of 9532. The greatest factor of 9532 is 9532.

3. 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.

4. How to Find the GCF of 9532 and 9538?

Answer:

Greatest Common Factor of 9532 and 9538 = 2

Step 1: Find the prime factorization of 9532

9532 = 2 x 2 x 2383

Step 2: Find the prime factorization of 9538

9538 = 2 x 19 x 251

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 9532 and 9538 is 2