Greatest Common Factor of 6510 and 6513

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 6510, 6513 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6510 and 6513 is 3.

GCF(6510,6513) = 3

GCF of 6510 and 6513

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

GCF of:
and

Greatest Common Factor of 6510 and 6513

GCF of 6510 and 6513 is 3

Prime Factorization of 6510


2 6510
3 3255
5 1085
7 217
31 31
1

Prime factors of 6510 are 2,3,5,7,31. Prime factorization of 6510 in exponential form is:

6510 = 21×31×51×71×311

Prime Factorization of 6513


3 6513
13 2171
167 167
1

Prime factors of 6513 are 3,13,167. Prime factorization of 6513 in exponential form is:

6513 = 31×131×1671

∴ So by taking common prime factors GCF of 6510 and 6513 is 3

Greatest Common Factor of 6510 and 6513 by matching factors method

Factors of 6510

List of positive integer factors of 6510 that divides 6510 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510

Factors of 6513

List of positive integer factors of 6513 that divides 6513 without a remainder.

1,3,13,39,167,501,2171,6513

Greatest Common Factor

We found the factors and prime factorization of 6510 and 6513. The biggest common factor number is the GCF number.
So the greatest common factor 6510 and 6513 is 3.

Also check out the Least Common Multiple of 6510 and 6513

Properties of GCF 6510 and 6513

(i) The GCF of 6510 and 6513 is associative

GCF of 6510 and 6513 = GCF of 6513 and 6510

Related Greatest Common Factor of 6510

Related Greatest Common Factor of 6513

Frequently Asked Questions on GCF of 6510 and 6513

1. What is the GCF of 6510 and 6513?

Answer: GCF of 6510 and 6513 is 3.

2. What are the Factors of 6510?

Answer: Factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510. There are 32 integers that are factors of 6510. The greatest factor of 6510 is 6510.

3. What are the Factors of 6513?

Answer: Factors of 6513 are 1, 3, 13, 39, 167, 501, 2171, 6513. There are 8 integers that are factors of 6513. The greatest factor of 6513 is 6513.

4. How to Find the GCF of 6510 and 6513?

Answer:

Greatest Common Factor of 6510 and 6513 = 3

Step 1: Find the prime factorization of 6510

6510 = 2 x 3 x 5 x 7 x 31

Step 2: Find the prime factorization of 6513

6513 = 3 x 13 x 167

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 6510 and 6513 is 3