Greatest Common Factor of 8481 and 8487

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 8481, 8487 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8481 and 8487 is 3.

GCF(8481,8487) = 3

GCF of 8481 and 8487

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

GCF of:
and

Greatest Common Factor of 8481 and 8487

GCF of 8481 and 8487 is 3

Prime Factorization of 8481


3 8481
11 2827
257 257
1

Prime factors of 8481 are 3,11,257. Prime factorization of 8481 in exponential form is:

8481 = 31×111×2571

Prime Factorization of 8487


3 8487
3 2829
23 943
41 41
1

Prime factors of 8487 are 3,23,41. Prime factorization of 8487 in exponential form is:

8487 = 32×231×411

∴ So by taking common prime factors GCF of 8481 and 8487 is 3

Greatest Common Factor of 8481 and 8487 by matching factors method

Factors of 8481

List of positive integer factors of 8481 that divides 8481 without a remainder.

1,3,11,33,257,771,2827,8481

Factors of 8487

List of positive integer factors of 8487 that divides 8487 without a remainder.

1,3,9,23,41,69,123,207,369,943,2829,8487

Greatest Common Factor

We found the factors and prime factorization of 8481 and 8487. The biggest common factor number is the GCF number.
So the greatest common factor 8481 and 8487 is 3.

Also check out the Least Common Multiple of 8481 and 8487

Properties of GCF 8481 and 8487

(i) The GCF of 8481 and 8487 is associative

GCF of 8481 and 8487 = GCF of 8487 and 8481

Related Greatest Common Factor of 8481

Related Greatest Common Factor of 8487

Frequently Asked Questions on GCF of 8481 and 8487

1. What is the GCF of 8481 and 8487?

Answer: GCF of 8481 and 8487 is 3.

2. What are the Factors of 8481?

Answer: Factors of 8481 are 1, 3, 11, 33, 257, 771, 2827, 8481. There are 8 integers that are factors of 8481. The greatest factor of 8481 is 8481.

3. What are the Factors of 8487?

Answer: Factors of 8487 are 1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829, 8487. There are 12 integers that are factors of 8487. The greatest factor of 8487 is 8487.

4. How to Find the GCF of 8481 and 8487?

Answer:

Greatest Common Factor of 8481 and 8487 = 3

Step 1: Find the prime factorization of 8481

8481 = 3 x 11 x 257

Step 2: Find the prime factorization of 8487

8487 = 3 x 3 x 23 x 41

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8481 and 8487 is 3