Greatest Common Factor of 6505 and 6507

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 6505, 6507 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6505 and 6507 is 1.

GCF(6505,6507) = 1

GCF of 6505 and 6507

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

GCF of:
and

Greatest Common Factor of 6505 and 6507

GCF of 6505 and 6507 is 1

Prime Factorization of 6505


5 6505
1301 1301
1

Prime factors of 6505 are 5,1301. Prime factorization of 6505 in exponential form is:

6505 = 51×13011

Prime Factorization of 6507


3 6507
3 2169
3 723
241 241
1

Prime factors of 6507 are 3,241. Prime factorization of 6507 in exponential form is:

6507 = 33×2411

∴ So by taking common prime factors GCF of 6505 and 6507 is 1

Greatest Common Factor of 6505 and 6507 by matching factors method

Factors of 6505

List of positive integer factors of 6505 that divides 6505 without a remainder.

1,5,1301,6505

Factors of 6507

List of positive integer factors of 6507 that divides 6507 without a remainder.

1,3,9,27,241,723,2169,6507

Greatest Common Factor

We found the factors and prime factorization of 6505 and 6507. The biggest common factor number is the GCF number.
So the greatest common factor 6505 and 6507 is 1.

Also check out the Least Common Multiple of 6505 and 6507

Properties of GCF 6505 and 6507

(i) The GCF of 6505 and 6507 is associative

GCF of 6505 and 6507 = GCF of 6507 and 6505

Related Greatest Common Factor of 6505

Related Greatest Common Factor of 6507

Frequently Asked Questions on GCF of 6505 and 6507

1. What is the GCF of 6505 and 6507?

Answer: GCF of 6505 and 6507 is 1.

2. What are the Factors of 6505?

Answer: Factors of 6505 are 1, 5, 1301, 6505. There are 4 integers that are factors of 6505. The greatest factor of 6505 is 6505.

3. What are the Factors of 6507?

Answer: Factors of 6507 are 1, 3, 9, 27, 241, 723, 2169, 6507. There are 8 integers that are factors of 6507. The greatest factor of 6507 is 6507.

4. How to Find the GCF of 6505 and 6507?

Answer:

Greatest Common Factor of 6505 and 6507 = 1

Step 1: Find the prime factorization of 6505

6505 = 5 x 1301

Step 2: Find the prime factorization of 6507

6507 = 3 x 3 x 3 x 241

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 6505 and 6507 is 1