Greatest Common Factor of 6434 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 6434, 6442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6434 and 6442 is 2.

GCF(6434,6442) = 2

GCF of 6434 and 6442

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

GCF of:
and

Greatest Common Factor of 6434 and 6442

GCF of 6434 and 6442 is 2

Prime Factorization of 6434


2 6434
3217 3217
1

Prime factors of 6434 are 2,3217. Prime factorization of 6434 in exponential form is:

6434 = 21×32171

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 6434 and 6442 is 2

Greatest Common Factor of 6434 and 6442 by matching factors method

Factors of 6434

List of positive integer factors of 6434 that divides 6434 without a remainder.

1,2,3217,6434

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 6434 and 6442. The biggest common factor number is the GCF number.
So the greatest common factor 6434 and 6442 is 2.

Also check out the Least Common Multiple of 6434 and 6442

Properties of GCF 6434 and 6442

(i) The GCF of 6434 and 6442 is associative

GCF of 6434 and 6442 = GCF of 6442 and 6434

Related Greatest Common Factor of 6434

Related Greatest Common Factor of 6442

Frequently Asked Questions on GCF of 6434 and 6442

1. What is the GCF of 6434 and 6442?

Answer: GCF of 6434 and 6442 is 2.

2. What are the Factors of 6434?

Answer: Factors of 6434 are 1, 2, 3217, 6434. There are 4 integers that are factors of 6434. The greatest factor of 6434 is 6434.

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 6434 and 6442?

Answer:

Greatest Common Factor of 6434 and 6442 = 2

Step 1: Find the prime factorization of 6434

6434 = 2 x 3217

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 6434 and 6442 is 2