Greatest Common Factor of 6368 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 6368, 6374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6368 and 6374 is 2.

GCF(6368,6374) = 2

GCF of 6368 and 6374

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

GCF of:
and

Greatest Common Factor of 6368 and 6374

GCF of 6368 and 6374 is 2

Prime Factorization of 6368


2 6368
2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 6368 are 2,199. Prime factorization of 6368 in exponential form is:

6368 = 25×1991

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 6368 and 6374 is 2

Greatest Common Factor of 6368 and 6374 by matching factors method

Factors of 6368

List of positive integer factors of 6368 that divides 6368 without a remainder.

1,2,4,8,16,32,199,398,796,1592,3184,6368

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 6368 and 6374. The biggest common factor number is the GCF number.
So the greatest common factor 6368 and 6374 is 2.

Also check out the Least Common Multiple of 6368 and 6374

Properties of GCF 6368 and 6374

(i) The GCF of 6368 and 6374 is associative

GCF of 6368 and 6374 = GCF of 6374 and 6368

Related Greatest Common Factor of 6368

Related Greatest Common Factor of 6374

Frequently Asked Questions on GCF of 6368 and 6374

1. What is the GCF of 6368 and 6374?

Answer: GCF of 6368 and 6374 is 2.

2. What are the Factors of 6368?

Answer: Factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368. There are 12 integers that are factors of 6368. The greatest factor of 6368 is 6368.

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 6368 and 6374?

Answer:

Greatest Common Factor of 6368 and 6374 = 2

Step 1: Find the prime factorization of 6368

6368 = 2 x 2 x 2 x 2 x 2 x 199

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 6368 and 6374 is 2