Greatest Common Factor of 9529 and 9534

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 9529, 9534 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9529 and 9534 is 1.

GCF(9529,9534) = 1

GCF of 9529 and 9534

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

GCF of:
and

Greatest Common Factor of 9529 and 9534

GCF of 9529 and 9534 is 1

Prime Factorization of 9529


13 9529
733 733
1

Prime factors of 9529 are 13,733. Prime factorization of 9529 in exponential form is:

9529 = 131×7331

Prime Factorization of 9534


2 9534
3 4767
7 1589
227 227
1

Prime factors of 9534 are 2,3,7,227. Prime factorization of 9534 in exponential form is:

9534 = 21×31×71×2271

∴ So by taking common prime factors GCF of 9529 and 9534 is 1

Greatest Common Factor of 9529 and 9534 by matching factors method

Factors of 9529

List of positive integer factors of 9529 that divides 9529 without a remainder.

1,13,733,9529

Factors of 9534

List of positive integer factors of 9534 that divides 9534 without a remainder.

1,2,3,6,7,14,21,42,227,454,681,1362,1589,3178,4767,9534

Greatest Common Factor

We found the factors and prime factorization of 9529 and 9534. The biggest common factor number is the GCF number.
So the greatest common factor 9529 and 9534 is 1.

Also check out the Least Common Multiple of 9529 and 9534

Properties of GCF 9529 and 9534

(i) The GCF of 9529 and 9534 is associative

GCF of 9529 and 9534 = GCF of 9534 and 9529

Related Greatest Common Factor of 9529

Related Greatest Common Factor of 9534

Frequently Asked Questions on GCF of 9529 and 9534

1. What is the GCF of 9529 and 9534?

Answer: GCF of 9529 and 9534 is 1.

2. What are the Factors of 9529?

Answer: Factors of 9529 are 1, 13, 733, 9529. There are 4 integers that are factors of 9529. The greatest factor of 9529 is 9529.

3. What are the Factors of 9534?

Answer: Factors of 9534 are 1, 2, 3, 6, 7, 14, 21, 42, 227, 454, 681, 1362, 1589, 3178, 4767, 9534. There are 16 integers that are factors of 9534. The greatest factor of 9534 is 9534.

4. How to Find the GCF of 9529 and 9534?

Answer:

Greatest Common Factor of 9529 and 9534 = 1

Step 1: Find the prime factorization of 9529

9529 = 13 x 733

Step 2: Find the prime factorization of 9534

9534 = 2 x 3 x 7 x 227

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 9529 and 9534 is 1