Greatest Common Factor of 6504 and 6505

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 6504, 6505 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6504 and 6505 is 1.

GCF(6504,6505) = 1

GCF of 6504 and 6505

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

GCF of:
and

Greatest Common Factor of 6504 and 6505

GCF of 6504 and 6505 is 1

Prime Factorization of 6504


2 6504
2 3252
2 1626
3 813
271 271
1

Prime factors of 6504 are 2,3,271. Prime factorization of 6504 in exponential form is:

6504 = 23×31×2711

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

∴ So by taking common prime factors GCF of 6504 and 6505 is 1

Greatest Common Factor of 6504 and 6505 by matching factors method

Factors of 6504

List of positive integer factors of 6504 that divides 6504 without a remainder.

1,2,3,4,6,8,12,24,271,542,813,1084,1626,2168,3252,6504

Factors of 6505

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

1,5,1301,6505

Greatest Common Factor

We found the factors and prime factorization of 6504 and 6505. The biggest common factor number is the GCF number.
So the greatest common factor 6504 and 6505 is 1.

Also check out the Least Common Multiple of 6504 and 6505

Properties of GCF 6504 and 6505

(i) The GCF of 6504 and 6505 is associative

GCF of 6504 and 6505 = GCF of 6505 and 6504

Related Greatest Common Factor of 6504

Related Greatest Common Factor of 6505

Frequently Asked Questions on GCF of 6504 and 6505

1. What is the GCF of 6504 and 6505?

Answer: GCF of 6504 and 6505 is 1.

2. What are the Factors of 6504?

Answer: Factors of 6504 are 1, 2, 3, 4, 6, 8, 12, 24, 271, 542, 813, 1084, 1626, 2168, 3252, 6504. There are 16 integers that are factors of 6504. The greatest factor of 6504 is 6504.

3. 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.

4. How to Find the GCF of 6504 and 6505?

Answer:

Greatest Common Factor of 6504 and 6505 = 1

Step 1: Find the prime factorization of 6504

6504 = 2 x 2 x 2 x 3 x 271

Step 2: Find the prime factorization of 6505

6505 = 5 x 1301

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 6504 and 6505 is 1