Greatest Common Factor of 8508 and 8514

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 8508, 8514 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8508 and 8514 is 6.

GCF(8508,8514) = 6

GCF of 8508 and 8514

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

GCF of:
and

Greatest Common Factor of 8508 and 8514

GCF of 8508 and 8514 is 6

Prime Factorization of 8508


2 8508
2 4254
3 2127
709 709
1

Prime factors of 8508 are 2,3,709. Prime factorization of 8508 in exponential form is:

8508 = 22×31×7091

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

∴ So by taking common prime factors GCF of 8508 and 8514 is 6

Greatest Common Factor of 8508 and 8514 by matching factors method

Factors of 8508

List of positive integer factors of 8508 that divides 8508 without a remainder.

1,2,3,4,6,12,709,1418,2127,2836,4254,8508

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

Greatest Common Factor

We found the factors and prime factorization of 8508 and 8514. The biggest common factor number is the GCF number.
So the greatest common factor 8508 and 8514 is 6.

Also check out the Least Common Multiple of 8508 and 8514

Properties of GCF 8508 and 8514

(i) The GCF of 8508 and 8514 is associative

GCF of 8508 and 8514 = GCF of 8514 and 8508

Related Greatest Common Factor of 8508

Related Greatest Common Factor of 8514

Frequently Asked Questions on GCF of 8508 and 8514

1. What is the GCF of 8508 and 8514?

Answer: GCF of 8508 and 8514 is 6.

2. What are the Factors of 8508?

Answer: Factors of 8508 are 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836, 4254, 8508. There are 12 integers that are factors of 8508. The greatest factor of 8508 is 8508.

3. 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.

4. How to Find the GCF of 8508 and 8514?

Answer:

Greatest Common Factor of 8508 and 8514 = 6

Step 1: Find the prime factorization of 8508

8508 = 2 x 2 x 3 x 709

Step 2: Find the prime factorization of 8514

8514 = 2 x 3 x 3 x 11 x 43

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8508 and 8514 is 6