Greatest Common Factor of 6404 and 6408

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, 6408 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6404 and 6408 is 4.

GCF(6404,6408) = 4

GCF of 6404 and 6408

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

GCF of:
and

Greatest Common Factor of 6404 and 6408

GCF of 6404 and 6408 is 4

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 6408


2 6408
2 3204
2 1602
3 801
3 267
89 89
1

Prime factors of 6408 are 2,3,89. Prime factorization of 6408 in exponential form is:

6408 = 23×32×891

∴ So by taking common prime factors GCF of 6404 and 6408 is 4

Greatest Common Factor of 6404 and 6408 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 6408

List of positive integer factors of 6408 that divides 6408 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,89,178,267,356,534,712,801,1068,1602,2136,3204,6408

Greatest Common Factor

We found the factors and prime factorization of 6404 and 6408. The biggest common factor number is the GCF number.
So the greatest common factor 6404 and 6408 is 4.

Also check out the Least Common Multiple of 6404 and 6408

Properties of GCF 6404 and 6408

(i) The GCF of 6404 and 6408 is associative

GCF of 6404 and 6408 = GCF of 6408 and 6404

Related Greatest Common Factor of 6404

Related Greatest Common Factor of 6408

Frequently Asked Questions on GCF of 6404 and 6408

1. What is the GCF of 6404 and 6408?

Answer: GCF of 6404 and 6408 is 4.

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 6408?

Answer: Factors of 6408 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 89, 178, 267, 356, 534, 712, 801, 1068, 1602, 2136, 3204, 6408. There are 24 integers that are factors of 6408. The greatest factor of 6408 is 6408.

4. How to Find the GCF of 6404 and 6408?

Answer:

Greatest Common Factor of 6404 and 6408 = 4

Step 1: Find the prime factorization of 6404

6404 = 2 x 2 x 1601

Step 2: Find the prime factorization of 6408

6408 = 2 x 2 x 2 x 3 x 3 x 89

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6404 and 6408 is 4