Greatest Common Factor of 6420 and 6428

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 6420, 6428 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6420 and 6428 is 4.

GCF(6420,6428) = 4

GCF of 6420 and 6428

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

GCF of:
and

Greatest Common Factor of 6420 and 6428

GCF of 6420 and 6428 is 4

Prime Factorization of 6420


2 6420
2 3210
3 1605
5 535
107 107
1

Prime factors of 6420 are 2,3,5,107. Prime factorization of 6420 in exponential form is:

6420 = 22×31×51×1071

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

∴ So by taking common prime factors GCF of 6420 and 6428 is 4

Greatest Common Factor of 6420 and 6428 by matching factors method

Factors of 6420

List of positive integer factors of 6420 that divides 6420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420

Factors of 6428

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

1,2,4,1607,3214,6428

Greatest Common Factor

We found the factors and prime factorization of 6420 and 6428. The biggest common factor number is the GCF number.
So the greatest common factor 6420 and 6428 is 4.

Also check out the Least Common Multiple of 6420 and 6428

Properties of GCF 6420 and 6428

(i) The GCF of 6420 and 6428 is associative

GCF of 6420 and 6428 = GCF of 6428 and 6420

Related Greatest Common Factor of 6420

Related Greatest Common Factor of 6428

Frequently Asked Questions on GCF of 6420 and 6428

1. What is the GCF of 6420 and 6428?

Answer: GCF of 6420 and 6428 is 4.

2. What are the Factors of 6420?

Answer: Factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420. There are 24 integers that are factors of 6420. The greatest factor of 6420 is 6420.

3. 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.

4. How to Find the GCF of 6420 and 6428?

Answer:

Greatest Common Factor of 6420 and 6428 = 4

Step 1: Find the prime factorization of 6420

6420 = 2 x 2 x 3 x 5 x 107

Step 2: Find the prime factorization of 6428

6428 = 2 x 2 x 1607

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 6420 and 6428 is 4