Greatest Common Factor of 6420 and 6427

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, 6427 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6420 and 6427 is 1.

GCF(6420,6427) = 1

GCF of 6420 and 6427

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

GCF of:
and

Greatest Common Factor of 6420 and 6427

GCF of 6420 and 6427 is 1

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 6427


6427 6427
1

Prime factors of 6427 are 6427. Prime factorization of 6427 in exponential form is:

6427 = 64271

∴ So by taking common prime factors GCF of 6420 and 6427 is 1

Greatest Common Factor of 6420 and 6427 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 6427

List of positive integer factors of 6427 that divides 6427 without a remainder.

1,6427

Greatest Common Factor

We found the factors and prime factorization of 6420 and 6427. The biggest common factor number is the GCF number.
So the greatest common factor 6420 and 6427 is 1.

Also check out the Least Common Multiple of 6420 and 6427

Properties of GCF 6420 and 6427

(i) The GCF of 6420 and 6427 is associative

GCF of 6420 and 6427 = GCF of 6427 and 6420

Frequently Asked Questions on GCF of 6420 and 6427

1. What is the GCF of 6420 and 6427?

Answer: GCF of 6420 and 6427 is 1.

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 6427?

Answer: Factors of 6427 are 1, 6427. There are 2 integers that are factors of 6427. The greatest factor of 6427 is 6427.

4. How to Find the GCF of 6420 and 6427?

Answer:

Greatest Common Factor of 6420 and 6427 = 1

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 6427

6427 = 6427

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6420 and 6427 is 1