Greatest Common Factor of 8514 and 8520

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, 8520 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8514 and 8520 is 6.

GCF(8514,8520) = 6

GCF of 8514 and 8520

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

GCF of:
and

Greatest Common Factor of 8514 and 8520

GCF of 8514 and 8520 is 6

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 8520


2 8520
2 4260
2 2130
3 1065
5 355
71 71
1

Prime factors of 8520 are 2,3,5,71. Prime factorization of 8520 in exponential form is:

8520 = 23×31×51×711

∴ So by taking common prime factors GCF of 8514 and 8520 is 6

Greatest Common Factor of 8514 and 8520 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 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520

Greatest Common Factor

We found the factors and prime factorization of 8514 and 8520. The biggest common factor number is the GCF number.
So the greatest common factor 8514 and 8520 is 6.

Also check out the Least Common Multiple of 8514 and 8520

Properties of GCF 8514 and 8520

(i) The GCF of 8514 and 8520 is associative

GCF of 8514 and 8520 = GCF of 8520 and 8514

Related Greatest Common Factor of 8514

Related Greatest Common Factor of 8520

Frequently Asked Questions on GCF of 8514 and 8520

1. What is the GCF of 8514 and 8520?

Answer: GCF of 8514 and 8520 is 6.

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 8520?

Answer: Factors of 8520 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 71, 120, 142, 213, 284, 355, 426, 568, 710, 852, 1065, 1420, 1704, 2130, 2840, 4260, 8520. There are 32 integers that are factors of 8520. The greatest factor of 8520 is 8520.

4. How to Find the GCF of 8514 and 8520?

Answer:

Greatest Common Factor of 8514 and 8520 = 6

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 8520

8520 = 2 x 2 x 2 x 3 x 5 x 71

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 8514 and 8520 is 6