Greatest Common Factor of 8531 and 8535

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 8531, 8535 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8531 and 8535 is 1.

GCF(8531,8535) = 1

GCF of 8531 and 8535

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

GCF of:
and

Greatest Common Factor of 8531 and 8535

GCF of 8531 and 8535 is 1

Prime Factorization of 8531


19 8531
449 449
1

Prime factors of 8531 are 19,449. Prime factorization of 8531 in exponential form is:

8531 = 191×4491

Prime Factorization of 8535


3 8535
5 2845
569 569
1

Prime factors of 8535 are 3,5,569. Prime factorization of 8535 in exponential form is:

8535 = 31×51×5691

∴ So by taking common prime factors GCF of 8531 and 8535 is 1

Greatest Common Factor of 8531 and 8535 by matching factors method

Factors of 8531

List of positive integer factors of 8531 that divides 8531 without a remainder.

1,19,449,8531

Factors of 8535

List of positive integer factors of 8535 that divides 8535 without a remainder.

1,3,5,15,569,1707,2845,8535

Greatest Common Factor

We found the factors and prime factorization of 8531 and 8535. The biggest common factor number is the GCF number.
So the greatest common factor 8531 and 8535 is 1.

Also check out the Least Common Multiple of 8531 and 8535

Properties of GCF 8531 and 8535

(i) The GCF of 8531 and 8535 is associative

GCF of 8531 and 8535 = GCF of 8535 and 8531

Frequently Asked Questions on GCF of 8531 and 8535

1. What is the GCF of 8531 and 8535?

Answer: GCF of 8531 and 8535 is 1.

2. What are the Factors of 8531?

Answer: Factors of 8531 are 1, 19, 449, 8531. There are 4 integers that are factors of 8531. The greatest factor of 8531 is 8531.

3. What are the Factors of 8535?

Answer: Factors of 8535 are 1, 3, 5, 15, 569, 1707, 2845, 8535. There are 8 integers that are factors of 8535. The greatest factor of 8535 is 8535.

4. How to Find the GCF of 8531 and 8535?

Answer:

Greatest Common Factor of 8531 and 8535 = 1

Step 1: Find the prime factorization of 8531

8531 = 19 x 449

Step 2: Find the prime factorization of 8535

8535 = 3 x 5 x 569

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 8531 and 8535 is 1