Greatest Common Factor of 6366 and 6374

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 6366, 6374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6366 and 6374 is 2.

GCF(6366,6374) = 2

GCF of 6366 and 6374

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

GCF of:
and

Greatest Common Factor of 6366 and 6374

GCF of 6366 and 6374 is 2

Prime Factorization of 6366


2 6366
3 3183
1061 1061
1

Prime factors of 6366 are 2,3,1061. Prime factorization of 6366 in exponential form is:

6366 = 21×31×10611

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

∴ So by taking common prime factors GCF of 6366 and 6374 is 2

Greatest Common Factor of 6366 and 6374 by matching factors method

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1,2,3,6,1061,2122,3183,6366

Factors of 6374

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

1,2,3187,6374

Greatest Common Factor

We found the factors and prime factorization of 6366 and 6374. The biggest common factor number is the GCF number.
So the greatest common factor 6366 and 6374 is 2.

Also check out the Least Common Multiple of 6366 and 6374

Properties of GCF 6366 and 6374

(i) The GCF of 6366 and 6374 is associative

GCF of 6366 and 6374 = GCF of 6374 and 6366

Related Greatest Common Factor of 6366

Related Greatest Common Factor of 6374

Frequently Asked Questions on GCF of 6366 and 6374

1. What is the GCF of 6366 and 6374?

Answer: GCF of 6366 and 6374 is 2.

2. What are the Factors of 6366?

Answer: Factors of 6366 are 1, 2, 3, 6, 1061, 2122, 3183, 6366. There are 8 integers that are factors of 6366. The greatest factor of 6366 is 6366.

3. 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.

4. How to Find the GCF of 6366 and 6374?

Answer:

Greatest Common Factor of 6366 and 6374 = 2

Step 1: Find the prime factorization of 6366

6366 = 2 x 3 x 1061

Step 2: Find the prime factorization of 6374

6374 = 2 x 3187

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 6366 and 6374 is 2