Greatest Common Factor of 6267 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 6267, 6273 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6267 and 6273 is 3.

GCF(6267,6273) = 3

GCF of 6267 and 6273

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

GCF of:
and

Greatest Common Factor of 6267 and 6273

GCF of 6267 and 6273 is 3

Prime Factorization of 6267


3 6267
2089 2089
1

Prime factors of 6267 are 3,2089. Prime factorization of 6267 in exponential form is:

6267 = 31×20891

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 6267 and 6273 is 3

Greatest Common Factor of 6267 and 6273 by matching factors method

Factors of 6267

List of positive integer factors of 6267 that divides 6267 without a remainder.

1,3,2089,6267

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 6267 and 6273. The biggest common factor number is the GCF number.
So the greatest common factor 6267 and 6273 is 3.

Also check out the Least Common Multiple of 6267 and 6273

Properties of GCF 6267 and 6273

(i) The GCF of 6267 and 6273 is associative

GCF of 6267 and 6273 = GCF of 6273 and 6267

Related Greatest Common Factor of 6267

Related Greatest Common Factor of 6273

Frequently Asked Questions on GCF of 6267 and 6273

1. What is the GCF of 6267 and 6273?

Answer: GCF of 6267 and 6273 is 3.

2. What are the Factors of 6267?

Answer: Factors of 6267 are 1, 3, 2089, 6267. There are 4 integers that are factors of 6267. The greatest factor of 6267 is 6267.

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 6267 and 6273?

Answer:

Greatest Common Factor of 6267 and 6273 = 3

Step 1: Find the prime factorization of 6267

6267 = 3 x 2089

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 6267 and 6273 is 3