Greatest Common Factor of 6270 and 6273

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 6270, 6273 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6270 and 6273 is 3.

GCF(6270,6273) = 3

GCF of 6270 and 6273

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

GCF of:
and

Greatest Common Factor of 6270 and 6273

GCF of 6270 and 6273 is 3

Prime Factorization of 6270


2 6270
3 3135
5 1045
11 209
19 19
1

Prime factors of 6270 are 2,3,5,11,19. Prime factorization of 6270 in exponential form is:

6270 = 21×31×51×111×191

Prime Factorization of 6273


3 6273
3 2091
17 697
41 41
1

Prime factors of 6273 are 3,17,41. Prime factorization of 6273 in exponential form is:

6273 = 32×171×411

∴ So by taking common prime factors GCF of 6270 and 6273 is 3

Greatest Common Factor of 6270 and 6273 by matching factors method

Factors of 6270

List of positive integer factors of 6270 that divides 6270 without a remainder.

1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270

Factors of 6273

List of positive integer factors of 6273 that divides 6273 without a remainder.

1,3,9,17,41,51,123,153,369,697,2091,6273

Greatest Common Factor

We found the factors and prime factorization of 6270 and 6273. The biggest common factor number is the GCF number.
So the greatest common factor 6270 and 6273 is 3.

Also check out the Least Common Multiple of 6270 and 6273

Properties of GCF 6270 and 6273

(i) The GCF of 6270 and 6273 is associative

GCF of 6270 and 6273 = GCF of 6273 and 6270

Related Greatest Common Factor of 6270

Related Greatest Common Factor of 6273

Frequently Asked Questions on GCF of 6270 and 6273

1. What is the GCF of 6270 and 6273?

Answer: GCF of 6270 and 6273 is 3.

2. What are the Factors of 6270?

Answer: Factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270. There are 32 integers that are factors of 6270. The greatest factor of 6270 is 6270.

3. What are the Factors of 6273?

Answer: Factors of 6273 are 1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273. There are 12 integers that are factors of 6273. The greatest factor of 6273 is 6273.

4. How to Find the GCF of 6270 and 6273?

Answer:

Greatest Common Factor of 6270 and 6273 = 3

Step 1: Find the prime factorization of 6270

6270 = 2 x 3 x 5 x 11 x 19

Step 2: Find the prime factorization of 6273

6273 = 3 x 3 x 17 x 41

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 6270 and 6273 is 3