Greatest Common Factor of 6404 and 6410

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 6404, 6410 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6404 and 6410 is 2.

GCF(6404,6410) = 2

GCF of 6404 and 6410

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

GCF of:
and

Greatest Common Factor of 6404 and 6410

GCF of 6404 and 6410 is 2

Prime Factorization of 6404


2 6404
2 3202
1601 1601
1

Prime factors of 6404 are 2,1601. Prime factorization of 6404 in exponential form is:

6404 = 22×16011

Prime Factorization of 6410


2 6410
5 3205
641 641
1

Prime factors of 6410 are 2,5,641. Prime factorization of 6410 in exponential form is:

6410 = 21×51×6411

∴ So by taking common prime factors GCF of 6404 and 6410 is 2

Greatest Common Factor of 6404 and 6410 by matching factors method

Factors of 6404

List of positive integer factors of 6404 that divides 6404 without a remainder.

1,2,4,1601,3202,6404

Factors of 6410

List of positive integer factors of 6410 that divides 6410 without a remainder.

1,2,5,10,641,1282,3205,6410

Greatest Common Factor

We found the factors and prime factorization of 6404 and 6410. The biggest common factor number is the GCF number.
So the greatest common factor 6404 and 6410 is 2.

Also check out the Least Common Multiple of 6404 and 6410

Properties of GCF 6404 and 6410

(i) The GCF of 6404 and 6410 is associative

GCF of 6404 and 6410 = GCF of 6410 and 6404

Related Greatest Common Factor of 6404

Related Greatest Common Factor of 6410

Frequently Asked Questions on GCF of 6404 and 6410

1. What is the GCF of 6404 and 6410?

Answer: GCF of 6404 and 6410 is 2.

2. What are the Factors of 6404?

Answer: Factors of 6404 are 1, 2, 4, 1601, 3202, 6404. There are 6 integers that are factors of 6404. The greatest factor of 6404 is 6404.

3. What are the Factors of 6410?

Answer: Factors of 6410 are 1, 2, 5, 10, 641, 1282, 3205, 6410. There are 8 integers that are factors of 6410. The greatest factor of 6410 is 6410.

4. How to Find the GCF of 6404 and 6410?

Answer:

Greatest Common Factor of 6404 and 6410 = 2

Step 1: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

Step 2: Find the prime factorization of 6410

6410 = 2 x 5 x 641

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 6404 and 6410 is 2