Greatest Common Factor of 8523 and 8531

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 8523, 8531 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8523 and 8531 is 1.

GCF(8523,8531) = 1

GCF of 8523 and 8531

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

GCF of:
and

Greatest Common Factor of 8523 and 8531

GCF of 8523 and 8531 is 1

Prime Factorization of 8523


3 8523
3 2841
947 947
1

Prime factors of 8523 are 3,947. Prime factorization of 8523 in exponential form is:

8523 = 32×9471

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

∴ So by taking common prime factors GCF of 8523 and 8531 is 1

Greatest Common Factor of 8523 and 8531 by matching factors method

Factors of 8523

List of positive integer factors of 8523 that divides 8523 without a remainder.

1,3,9,947,2841,8523

Factors of 8531

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

1,19,449,8531

Greatest Common Factor

We found the factors and prime factorization of 8523 and 8531. The biggest common factor number is the GCF number.
So the greatest common factor 8523 and 8531 is 1.

Also check out the Least Common Multiple of 8523 and 8531

Properties of GCF 8523 and 8531

(i) The GCF of 8523 and 8531 is associative

GCF of 8523 and 8531 = GCF of 8531 and 8523

Related Greatest Common Factor of 8523

Related Greatest Common Factor of 8531

Frequently Asked Questions on GCF of 8523 and 8531

1. What is the GCF of 8523 and 8531?

Answer: GCF of 8523 and 8531 is 1.

2. What are the Factors of 8523?

Answer: Factors of 8523 are 1, 3, 9, 947, 2841, 8523. There are 6 integers that are factors of 8523. The greatest factor of 8523 is 8523.

3. 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.

4. How to Find the GCF of 8523 and 8531?

Answer:

Greatest Common Factor of 8523 and 8531 = 1

Step 1: Find the prime factorization of 8523

8523 = 3 x 3 x 947

Step 2: Find the prime factorization of 8531

8531 = 19 x 449

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 8523 and 8531 is 1