Greatest Common Factor of 6509 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 6509, 6513 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6509 and 6513 is 1.

GCF(6509,6513) = 1

GCF of 6509 and 6513

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

GCF of:
and

Greatest Common Factor of 6509 and 6513

GCF of 6509 and 6513 is 1

Prime Factorization of 6509


23 6509
283 283
1

Prime factors of 6509 are 23,283. Prime factorization of 6509 in exponential form is:

6509 = 231×2831

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 6509 and 6513 is 1

Greatest Common Factor of 6509 and 6513 by matching factors method

Factors of 6509

List of positive integer factors of 6509 that divides 6509 without a remainder.

1,23,283,6509

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 6509 and 6513. The biggest common factor number is the GCF number.
So the greatest common factor 6509 and 6513 is 1.

Also check out the Least Common Multiple of 6509 and 6513

Properties of GCF 6509 and 6513

(i) The GCF of 6509 and 6513 is associative

GCF of 6509 and 6513 = GCF of 6513 and 6509

Related Greatest Common Factor of 6509

Related Greatest Common Factor of 6513

Frequently Asked Questions on GCF of 6509 and 6513

1. What is the GCF of 6509 and 6513?

Answer: GCF of 6509 and 6513 is 1.

2. What are the Factors of 6509?

Answer: Factors of 6509 are 1, 23, 283, 6509. There are 4 integers that are factors of 6509. The greatest factor of 6509 is 6509.

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 6509 and 6513?

Answer:

Greatest Common Factor of 6509 and 6513 = 1

Step 1: Find the prime factorization of 6509

6509 = 23 x 283

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 = = 1

Step 4: Therefore, the greatest common factor of 6509 and 6513 is 1