Greatest Common Factor of 6414 and 6420

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 6414, 6420 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6414 and 6420 is 6.

GCF(6414,6420) = 6

GCF of 6414 and 6420

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

GCF of:
and

Greatest Common Factor of 6414 and 6420

GCF of 6414 and 6420 is 6

Prime Factorization of 6414


2 6414
3 3207
1069 1069
1

Prime factors of 6414 are 2,3,1069. Prime factorization of 6414 in exponential form is:

6414 = 21×31×10691

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

∴ So by taking common prime factors GCF of 6414 and 6420 is 6

Greatest Common Factor of 6414 and 6420 by matching factors method

Factors of 6414

List of positive integer factors of 6414 that divides 6414 without a remainder.

1,2,3,6,1069,2138,3207,6414

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

Greatest Common Factor

We found the factors and prime factorization of 6414 and 6420. The biggest common factor number is the GCF number.
So the greatest common factor 6414 and 6420 is 6.

Also check out the Least Common Multiple of 6414 and 6420

Properties of GCF 6414 and 6420

(i) The GCF of 6414 and 6420 is associative

GCF of 6414 and 6420 = GCF of 6420 and 6414

Related Greatest Common Factor of 6414

Related Greatest Common Factor of 6420

Frequently Asked Questions on GCF of 6414 and 6420

1. What is the GCF of 6414 and 6420?

Answer: GCF of 6414 and 6420 is 6.

2. What are the Factors of 6414?

Answer: Factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414. There are 8 integers that are factors of 6414. The greatest factor of 6414 is 6414.

3. 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.

4. How to Find the GCF of 6414 and 6420?

Answer:

Greatest Common Factor of 6414 and 6420 = 6

Step 1: Find the prime factorization of 6414

6414 = 2 x 3 x 1069

Step 2: Find the prime factorization of 6420

6420 = 2 x 2 x 3 x 5 x 107

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6414 and 6420 is 6