Greatest Common Factor of 6348 and 6354

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, 6354 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6348 and 6354 is 6.

GCF(6348,6354) = 6

GCF of 6348 and 6354

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

GCF of:
and

Greatest Common Factor of 6348 and 6354

GCF of 6348 and 6354 is 6

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 6354


2 6354
3 3177
3 1059
353 353
1

Prime factors of 6354 are 2,3,353. Prime factorization of 6354 in exponential form is:

6354 = 21×32×3531

∴ So by taking common prime factors GCF of 6348 and 6354 is 6

Greatest Common Factor of 6348 and 6354 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 6354

List of positive integer factors of 6354 that divides 6354 without a remainder.

1,2,3,6,9,18,353,706,1059,2118,3177,6354

Greatest Common Factor

We found the factors and prime factorization of 6348 and 6354. The biggest common factor number is the GCF number.
So the greatest common factor 6348 and 6354 is 6.

Also check out the Least Common Multiple of 6348 and 6354

Properties of GCF 6348 and 6354

(i) The GCF of 6348 and 6354 is associative

GCF of 6348 and 6354 = GCF of 6354 and 6348

Related Greatest Common Factor of 6348

Related Greatest Common Factor of 6354

Frequently Asked Questions on GCF of 6348 and 6354

1. What is the GCF of 6348 and 6354?

Answer: GCF of 6348 and 6354 is 6.

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 6354?

Answer: Factors of 6354 are 1, 2, 3, 6, 9, 18, 353, 706, 1059, 2118, 3177, 6354. There are 12 integers that are factors of 6354. The greatest factor of 6354 is 6354.

4. How to Find the GCF of 6348 and 6354?

Answer:

Greatest Common Factor of 6348 and 6354 = 6

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 6354

6354 = 2 x 3 x 3 x 353

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 6348 and 6354 is 6