Greatest Common Factor of 6279 and 6282

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 6279, 6282 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6279 and 6282 is 3.

GCF(6279,6282) = 3

GCF of 6279 and 6282

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

GCF of:
and

Greatest Common Factor of 6279 and 6282

GCF of 6279 and 6282 is 3

Prime Factorization of 6279


3 6279
7 2093
13 299
23 23
1

Prime factors of 6279 are 3,7,13,23. Prime factorization of 6279 in exponential form is:

6279 = 31×71×131×231

Prime Factorization of 6282


2 6282
3 3141
3 1047
349 349
1

Prime factors of 6282 are 2,3,349. Prime factorization of 6282 in exponential form is:

6282 = 21×32×3491

∴ So by taking common prime factors GCF of 6279 and 6282 is 3

Greatest Common Factor of 6279 and 6282 by matching factors method

Factors of 6279

List of positive integer factors of 6279 that divides 6279 without a remainder.

1,3,7,13,21,23,39,69,91,161,273,299,483,897,2093,6279

Factors of 6282

List of positive integer factors of 6282 that divides 6282 without a remainder.

1,2,3,6,9,18,349,698,1047,2094,3141,6282

Greatest Common Factor

We found the factors and prime factorization of 6279 and 6282. The biggest common factor number is the GCF number.
So the greatest common factor 6279 and 6282 is 3.

Also check out the Least Common Multiple of 6279 and 6282

Properties of GCF 6279 and 6282

(i) The GCF of 6279 and 6282 is associative

GCF of 6279 and 6282 = GCF of 6282 and 6279

Related Greatest Common Factor of 6279

Related Greatest Common Factor of 6282

Frequently Asked Questions on GCF of 6279 and 6282

1. What is the GCF of 6279 and 6282?

Answer: GCF of 6279 and 6282 is 3.

2. What are the Factors of 6279?

Answer: Factors of 6279 are 1, 3, 7, 13, 21, 23, 39, 69, 91, 161, 273, 299, 483, 897, 2093, 6279. There are 16 integers that are factors of 6279. The greatest factor of 6279 is 6279.

3. What are the Factors of 6282?

Answer: Factors of 6282 are 1, 2, 3, 6, 9, 18, 349, 698, 1047, 2094, 3141, 6282. There are 12 integers that are factors of 6282. The greatest factor of 6282 is 6282.

4. How to Find the GCF of 6279 and 6282?

Answer:

Greatest Common Factor of 6279 and 6282 = 3

Step 1: Find the prime factorization of 6279

6279 = 3 x 7 x 13 x 23

Step 2: Find the prime factorization of 6282

6282 = 2 x 3 x 3 x 349

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

GCF = 3

Step 4: Therefore, the greatest common factor of 6279 and 6282 is 3