Greatest Common Factor of 8538 and 8543

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 8538, 8543 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8538 and 8543 is 1.

GCF(8538,8543) = 1

GCF of 8538 and 8543

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

GCF of:
and

Greatest Common Factor of 8538 and 8543

GCF of 8538 and 8543 is 1

Prime Factorization of 8538


2 8538
3 4269
1423 1423
1

Prime factors of 8538 are 2,3,1423. Prime factorization of 8538 in exponential form is:

8538 = 21×31×14231

Prime Factorization of 8543


8543 8543
1

Prime factors of 8543 are 8543. Prime factorization of 8543 in exponential form is:

8543 = 85431

∴ So by taking common prime factors GCF of 8538 and 8543 is 1

Greatest Common Factor of 8538 and 8543 by matching factors method

Factors of 8538

List of positive integer factors of 8538 that divides 8538 without a remainder.

1,2,3,6,1423,2846,4269,8538

Factors of 8543

List of positive integer factors of 8543 that divides 8543 without a remainder.

1,8543

Greatest Common Factor

We found the factors and prime factorization of 8538 and 8543. The biggest common factor number is the GCF number.
So the greatest common factor 8538 and 8543 is 1.

Also check out the Least Common Multiple of 8538 and 8543

Properties of GCF 8538 and 8543

(i) The GCF of 8538 and 8543 is associative

GCF of 8538 and 8543 = GCF of 8543 and 8538

Frequently Asked Questions on GCF of 8538 and 8543

1. What is the GCF of 8538 and 8543?

Answer: GCF of 8538 and 8543 is 1.

2. What are the Factors of 8538?

Answer: Factors of 8538 are 1, 2, 3, 6, 1423, 2846, 4269, 8538. There are 8 integers that are factors of 8538. The greatest factor of 8538 is 8538.

3. What are the Factors of 8543?

Answer: Factors of 8543 are 1, 8543. There are 2 integers that are factors of 8543. The greatest factor of 8543 is 8543.

4. How to Find the GCF of 8538 and 8543?

Answer:

Greatest Common Factor of 8538 and 8543 = 1

Step 1: Find the prime factorization of 8538

8538 = 2 x 3 x 1423

Step 2: Find the prime factorization of 8543

8543 = 8543

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 8538 and 8543 is 1