Greatest Common Factor of 6435 and 6438

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 6435, 6438 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6435 and 6438 is 3.

GCF(6435,6438) = 3

GCF of 6435 and 6438

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

GCF of:
and

Greatest Common Factor of 6435 and 6438

GCF of 6435 and 6438 is 3

Prime Factorization of 6435


3 6435
3 2145
5 715
11 143
13 13
1

Prime factors of 6435 are 3,5,11,13. Prime factorization of 6435 in exponential form is:

6435 = 32×51×111×131

Prime Factorization of 6438


2 6438
3 3219
29 1073
37 37
1

Prime factors of 6438 are 2,3,29,37. Prime factorization of 6438 in exponential form is:

6438 = 21×31×291×371

∴ So by taking common prime factors GCF of 6435 and 6438 is 3

Greatest Common Factor of 6435 and 6438 by matching factors method

Factors of 6435

List of positive integer factors of 6435 that divides 6435 without a remainder.

1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435

Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438

Greatest Common Factor

We found the factors and prime factorization of 6435 and 6438. The biggest common factor number is the GCF number.
So the greatest common factor 6435 and 6438 is 3.

Also check out the Least Common Multiple of 6435 and 6438

Properties of GCF 6435 and 6438

(i) The GCF of 6435 and 6438 is associative

GCF of 6435 and 6438 = GCF of 6438 and 6435

Related Greatest Common Factor of 6435

Related Greatest Common Factor of 6438

Frequently Asked Questions on GCF of 6435 and 6438

1. What is the GCF of 6435 and 6438?

Answer: GCF of 6435 and 6438 is 3.

2. What are the Factors of 6435?

Answer: Factors of 6435 are 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 195, 429, 495, 585, 715, 1287, 2145, 6435. There are 24 integers that are factors of 6435. The greatest factor of 6435 is 6435.

3. What are the Factors of 6438?

Answer: Factors of 6438 are 1, 2, 3, 6, 29, 37, 58, 74, 87, 111, 174, 222, 1073, 2146, 3219, 6438. There are 16 integers that are factors of 6438. The greatest factor of 6438 is 6438.

4. How to Find the GCF of 6435 and 6438?

Answer:

Greatest Common Factor of 6435 and 6438 = 3

Step 1: Find the prime factorization of 6435

6435 = 3 x 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 6438

6438 = 2 x 3 x 29 x 37

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6435 and 6438 is 3