Greatest Common Factor of 8514 and 8518

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 8514, 8518 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8514 and 8518 is 2.

GCF(8514,8518) = 2

GCF of 8514 and 8518

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

GCF of:
and

Greatest Common Factor of 8514 and 8518

GCF of 8514 and 8518 is 2

Prime Factorization of 8514


2 8514
3 4257
3 1419
11 473
43 43
1

Prime factors of 8514 are 2,3,11,43. Prime factorization of 8514 in exponential form is:

8514 = 21×32×111×431

Prime Factorization of 8518


2 8518
4259 4259
1

Prime factors of 8518 are 2,4259. Prime factorization of 8518 in exponential form is:

8518 = 21×42591

∴ So by taking common prime factors GCF of 8514 and 8518 is 2

Greatest Common Factor of 8514 and 8518 by matching factors method

Factors of 8514

List of positive integer factors of 8514 that divides 8514 without a remainder.

1,2,3,6,9,11,18,22,33,43,66,86,99,129,198,258,387,473,774,946,1419,2838,4257,8514

Factors of 8518

List of positive integer factors of 8518 that divides 8518 without a remainder.

1,2,4259,8518

Greatest Common Factor

We found the factors and prime factorization of 8514 and 8518. The biggest common factor number is the GCF number.
So the greatest common factor 8514 and 8518 is 2.

Also check out the Least Common Multiple of 8514 and 8518

Properties of GCF 8514 and 8518

(i) The GCF of 8514 and 8518 is associative

GCF of 8514 and 8518 = GCF of 8518 and 8514

Related Greatest Common Factor of 8514

Related Greatest Common Factor of 8518

Frequently Asked Questions on GCF of 8514 and 8518

1. What is the GCF of 8514 and 8518?

Answer: GCF of 8514 and 8518 is 2.

2. What are the Factors of 8514?

Answer: Factors of 8514 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 129, 198, 258, 387, 473, 774, 946, 1419, 2838, 4257, 8514. There are 24 integers that are factors of 8514. The greatest factor of 8514 is 8514.

3. What are the Factors of 8518?

Answer: Factors of 8518 are 1, 2, 4259, 8518. There are 4 integers that are factors of 8518. The greatest factor of 8518 is 8518.

4. How to Find the GCF of 8514 and 8518?

Answer:

Greatest Common Factor of 8514 and 8518 = 2

Step 1: Find the prime factorization of 8514

8514 = 2 x 3 x 3 x 11 x 43

Step 2: Find the prime factorization of 8518

8518 = 2 x 4259

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8514 and 8518 is 2