Greatest Common Factor of 6432 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 6432, 6438 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6432 and 6438 is 6.

GCF(6432,6438) = 6

GCF of 6432 and 6438

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

GCF of:
and

Greatest Common Factor of 6432 and 6438

GCF of 6432 and 6438 is 6

Prime Factorization of 6432


2 6432
2 3216
2 1608
2 804
2 402
3 201
67 67
1

Prime factors of 6432 are 2,3,67. Prime factorization of 6432 in exponential form is:

6432 = 25×31×671

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 6432 and 6438 is 6

Greatest Common Factor of 6432 and 6438 by matching factors method

Factors of 6432

List of positive integer factors of 6432 that divides 6432 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432

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 6432 and 6438. The biggest common factor number is the GCF number.
So the greatest common factor 6432 and 6438 is 6.

Also check out the Least Common Multiple of 6432 and 6438

Properties of GCF 6432 and 6438

(i) The GCF of 6432 and 6438 is associative

GCF of 6432 and 6438 = GCF of 6438 and 6432

Related Greatest Common Factor of 6432

Related Greatest Common Factor of 6438

Frequently Asked Questions on GCF of 6432 and 6438

1. What is the GCF of 6432 and 6438?

Answer: GCF of 6432 and 6438 is 6.

2. What are the Factors of 6432?

Answer: Factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432. There are 24 integers that are factors of 6432. The greatest factor of 6432 is 6432.

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 6432 and 6438?

Answer:

Greatest Common Factor of 6432 and 6438 = 6

Step 1: Find the prime factorization of 6432

6432 = 2 x 2 x 2 x 2 x 2 x 3 x 67

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6432 and 6438 is 6