Greatest Common Factor of 8487 and 8493

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 8487, 8493 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8487 and 8493 is 3.

GCF(8487,8493) = 3

GCF of 8487 and 8493

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

GCF of:
and

Greatest Common Factor of 8487 and 8493

GCF of 8487 and 8493 is 3

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

Prime Factorization of 8493


3 8493
19 2831
149 149
1

Prime factors of 8493 are 3,19,149. Prime factorization of 8493 in exponential form is:

8493 = 31×191×1491

∴ So by taking common prime factors GCF of 8487 and 8493 is 3

Greatest Common Factor of 8487 and 8493 by matching factors method

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

Factors of 8493

List of positive integer factors of 8493 that divides 8493 without a remainder.

1,3,19,57,149,447,2831,8493

Greatest Common Factor

We found the factors and prime factorization of 8487 and 8493. The biggest common factor number is the GCF number.
So the greatest common factor 8487 and 8493 is 3.

Also check out the Least Common Multiple of 8487 and 8493

Properties of GCF 8487 and 8493

(i) The GCF of 8487 and 8493 is associative

GCF of 8487 and 8493 = GCF of 8493 and 8487

Related Greatest Common Factor of 8487

Related Greatest Common Factor of 8493

Frequently Asked Questions on GCF of 8487 and 8493

1. What is the GCF of 8487 and 8493?

Answer: GCF of 8487 and 8493 is 3.

2. 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.

3. What are the Factors of 8493?

Answer: Factors of 8493 are 1, 3, 19, 57, 149, 447, 2831, 8493. There are 8 integers that are factors of 8493. The greatest factor of 8493 is 8493.

4. How to Find the GCF of 8487 and 8493?

Answer:

Greatest Common Factor of 8487 and 8493 = 3

Step 1: Find the prime factorization of 8487

8487 = 3 x 3 x 23 x 41

Step 2: Find the prime factorization of 8493

8493 = 3 x 19 x 149

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 8487 and 8493 is 3