Greatest Common Factor of 6438 and 6442

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 6438, 6442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6438 and 6442 is 2.

GCF(6438,6442) = 2

GCF of 6438 and 6442

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

GCF of:
and

Greatest Common Factor of 6438 and 6442

GCF of 6438 and 6442 is 2

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

Prime Factorization of 6442


2 6442
3221 3221
1

Prime factors of 6442 are 2,3221. Prime factorization of 6442 in exponential form is:

6442 = 21×32211

∴ So by taking common prime factors GCF of 6438 and 6442 is 2

Greatest Common Factor of 6438 and 6442 by matching factors method

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

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1,2,3221,6442

Greatest Common Factor

We found the factors and prime factorization of 6438 and 6442. The biggest common factor number is the GCF number.
So the greatest common factor 6438 and 6442 is 2.

Also check out the Least Common Multiple of 6438 and 6442

Properties of GCF 6438 and 6442

(i) The GCF of 6438 and 6442 is associative

GCF of 6438 and 6442 = GCF of 6442 and 6438

Related Greatest Common Factor of 6438

Related Greatest Common Factor of 6442

Frequently Asked Questions on GCF of 6438 and 6442

1. What is the GCF of 6438 and 6442?

Answer: GCF of 6438 and 6442 is 2.

2. 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.

3. What are the Factors of 6442?

Answer: Factors of 6442 are 1, 2, 3221, 6442. There are 4 integers that are factors of 6442. The greatest factor of 6442 is 6442.

4. How to Find the GCF of 6438 and 6442?

Answer:

Greatest Common Factor of 6438 and 6442 = 2

Step 1: Find the prime factorization of 6438

6438 = 2 x 3 x 29 x 37

Step 2: Find the prime factorization of 6442

6442 = 2 x 3221

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 6438 and 6442 is 2