Greatest Common Factor of 6428 and 6434

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 6428, 6434 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6428 and 6434 is 2.

GCF(6428,6434) = 2

GCF of 6428 and 6434

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

GCF of:
and

Greatest Common Factor of 6428 and 6434

GCF of 6428 and 6434 is 2

Prime Factorization of 6428


2 6428
2 3214
1607 1607
1

Prime factors of 6428 are 2,1607. Prime factorization of 6428 in exponential form is:

6428 = 22×16071

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

∴ So by taking common prime factors GCF of 6428 and 6434 is 2

Greatest Common Factor of 6428 and 6434 by matching factors method

Factors of 6428

List of positive integer factors of 6428 that divides 6428 without a remainder.

1,2,4,1607,3214,6428

Factors of 6434

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

1,2,3217,6434

Greatest Common Factor

We found the factors and prime factorization of 6428 and 6434. The biggest common factor number is the GCF number.
So the greatest common factor 6428 and 6434 is 2.

Also check out the Least Common Multiple of 6428 and 6434

Properties of GCF 6428 and 6434

(i) The GCF of 6428 and 6434 is associative

GCF of 6428 and 6434 = GCF of 6434 and 6428

Related Greatest Common Factor of 6428

Related Greatest Common Factor of 6434

Frequently Asked Questions on GCF of 6428 and 6434

1. What is the GCF of 6428 and 6434?

Answer: GCF of 6428 and 6434 is 2.

2. What are the Factors of 6428?

Answer: Factors of 6428 are 1, 2, 4, 1607, 3214, 6428. There are 6 integers that are factors of 6428. The greatest factor of 6428 is 6428.

3. 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.

4. How to Find the GCF of 6428 and 6434?

Answer:

Greatest Common Factor of 6428 and 6434 = 2

Step 1: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

Step 2: Find the prime factorization of 6434

6434 = 2 x 3217

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 6428 and 6434 is 2