Greatest Common Factor of 6428 and 6436

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, 6436 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6428 and 6436 is 4.

GCF(6428,6436) = 4

GCF of 6428 and 6436

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

GCF of:
and

Greatest Common Factor of 6428 and 6436

GCF of 6428 and 6436 is 4

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 6436


2 6436
2 3218
1609 1609
1

Prime factors of 6436 are 2,1609. Prime factorization of 6436 in exponential form is:

6436 = 22×16091

∴ So by taking common prime factors GCF of 6428 and 6436 is 4

Greatest Common Factor of 6428 and 6436 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 6436

List of positive integer factors of 6436 that divides 6436 without a remainder.

1,2,4,1609,3218,6436

Greatest Common Factor

We found the factors and prime factorization of 6428 and 6436. The biggest common factor number is the GCF number.
So the greatest common factor 6428 and 6436 is 4.

Also check out the Least Common Multiple of 6428 and 6436

Properties of GCF 6428 and 6436

(i) The GCF of 6428 and 6436 is associative

GCF of 6428 and 6436 = GCF of 6436 and 6428

Related Greatest Common Factor of 6428

Related Greatest Common Factor of 6436

Frequently Asked Questions on GCF of 6428 and 6436

1. What is the GCF of 6428 and 6436?

Answer: GCF of 6428 and 6436 is 4.

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 6436?

Answer: Factors of 6436 are 1, 2, 4, 1609, 3218, 6436. There are 6 integers that are factors of 6436. The greatest factor of 6436 is 6436.

4. How to Find the GCF of 6428 and 6436?

Answer:

Greatest Common Factor of 6428 and 6436 = 4

Step 1: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

Step 2: Find the prime factorization of 6436

6436 = 2 x 2 x 1609

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6428 and 6436 is 4