Greatest Common Factor of 6348 and 6356

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 6348, 6356 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6348 and 6356 is 4.

GCF(6348,6356) = 4

GCF of 6348 and 6356

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

GCF of:
and

Greatest Common Factor of 6348 and 6356

GCF of 6348 and 6356 is 4

Prime Factorization of 6348


2 6348
2 3174
3 1587
23 529
23 23
1

Prime factors of 6348 are 2,3,23. Prime factorization of 6348 in exponential form is:

6348 = 22×31×232

Prime Factorization of 6356


2 6356
2 3178
7 1589
227 227
1

Prime factors of 6356 are 2,7,227. Prime factorization of 6356 in exponential form is:

6356 = 22×71×2271

∴ So by taking common prime factors GCF of 6348 and 6356 is 4

Greatest Common Factor of 6348 and 6356 by matching factors method

Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276,529,1058,1587,2116,3174,6348

Factors of 6356

List of positive integer factors of 6356 that divides 6356 without a remainder.

1,2,4,7,14,28,227,454,908,1589,3178,6356

Greatest Common Factor

We found the factors and prime factorization of 6348 and 6356. The biggest common factor number is the GCF number.
So the greatest common factor 6348 and 6356 is 4.

Also check out the Least Common Multiple of 6348 and 6356

Properties of GCF 6348 and 6356

(i) The GCF of 6348 and 6356 is associative

GCF of 6348 and 6356 = GCF of 6356 and 6348

Related Greatest Common Factor of 6348

Related Greatest Common Factor of 6356

Frequently Asked Questions on GCF of 6348 and 6356

1. What is the GCF of 6348 and 6356?

Answer: GCF of 6348 and 6356 is 4.

2. What are the Factors of 6348?

Answer: Factors of 6348 are 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174, 6348. There are 18 integers that are factors of 6348. The greatest factor of 6348 is 6348.

3. What are the Factors of 6356?

Answer: Factors of 6356 are 1, 2, 4, 7, 14, 28, 227, 454, 908, 1589, 3178, 6356. There are 12 integers that are factors of 6356. The greatest factor of 6356 is 6356.

4. How to Find the GCF of 6348 and 6356?

Answer:

Greatest Common Factor of 6348 and 6356 = 4

Step 1: Find the prime factorization of 6348

6348 = 2 x 2 x 3 x 23 x 23

Step 2: Find the prime factorization of 6356

6356 = 2 x 2 x 7 x 227

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 6348 and 6356 is 4