Greatest Common Factor of 6374 and 6378

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 6374, 6378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6374 and 6378 is 2.

GCF(6374,6378) = 2

GCF of 6374 and 6378

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

GCF of:
and

Greatest Common Factor of 6374 and 6378

GCF of 6374 and 6378 is 2

Prime Factorization of 6374


2 6374
3187 3187
1

Prime factors of 6374 are 2,3187. Prime factorization of 6374 in exponential form is:

6374 = 21×31871

Prime Factorization of 6378


2 6378
3 3189
1063 1063
1

Prime factors of 6378 are 2,3,1063. Prime factorization of 6378 in exponential form is:

6378 = 21×31×10631

∴ So by taking common prime factors GCF of 6374 and 6378 is 2

Greatest Common Factor of 6374 and 6378 by matching factors method

Factors of 6374

List of positive integer factors of 6374 that divides 6374 without a remainder.

1,2,3187,6374

Factors of 6378

List of positive integer factors of 6378 that divides 6378 without a remainder.

1,2,3,6,1063,2126,3189,6378

Greatest Common Factor

We found the factors and prime factorization of 6374 and 6378. The biggest common factor number is the GCF number.
So the greatest common factor 6374 and 6378 is 2.

Also check out the Least Common Multiple of 6374 and 6378

Properties of GCF 6374 and 6378

(i) The GCF of 6374 and 6378 is associative

GCF of 6374 and 6378 = GCF of 6378 and 6374

Related Greatest Common Factor of 6374

Related Greatest Common Factor of 6378

Frequently Asked Questions on GCF of 6374 and 6378

1. What is the GCF of 6374 and 6378?

Answer: GCF of 6374 and 6378 is 2.

2. What are the Factors of 6374?

Answer: Factors of 6374 are 1, 2, 3187, 6374. There are 4 integers that are factors of 6374. The greatest factor of 6374 is 6374.

3. What are the Factors of 6378?

Answer: Factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378. There are 8 integers that are factors of 6378. The greatest factor of 6378 is 6378.

4. How to Find the GCF of 6374 and 6378?

Answer:

Greatest Common Factor of 6374 and 6378 = 2

Step 1: Find the prime factorization of 6374

6374 = 2 x 3187

Step 2: Find the prime factorization of 6378

6378 = 2 x 3 x 1063

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 6374 and 6378 is 2