Greatest Common Factor of 6249 and 6255

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 6249, 6255 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6249 and 6255 is 3.

GCF(6249,6255) = 3

GCF of 6249 and 6255

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

GCF of:
and

Greatest Common Factor of 6249 and 6255

GCF of 6249 and 6255 is 3

Prime Factorization of 6249


3 6249
2083 2083
1

Prime factors of 6249 are 3,2083. Prime factorization of 6249 in exponential form is:

6249 = 31×20831

Prime Factorization of 6255


3 6255
3 2085
5 695
139 139
1

Prime factors of 6255 are 3,5,139. Prime factorization of 6255 in exponential form is:

6255 = 32×51×1391

∴ So by taking common prime factors GCF of 6249 and 6255 is 3

Greatest Common Factor of 6249 and 6255 by matching factors method

Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1,3,2083,6249

Factors of 6255

List of positive integer factors of 6255 that divides 6255 without a remainder.

1,3,5,9,15,45,139,417,695,1251,2085,6255

Greatest Common Factor

We found the factors and prime factorization of 6249 and 6255. The biggest common factor number is the GCF number.
So the greatest common factor 6249 and 6255 is 3.

Also check out the Least Common Multiple of 6249 and 6255

Properties of GCF 6249 and 6255

(i) The GCF of 6249 and 6255 is associative

GCF of 6249 and 6255 = GCF of 6255 and 6249

Related Greatest Common Factor of 6249

Related Greatest Common Factor of 6255

Frequently Asked Questions on GCF of 6249 and 6255

1. What is the GCF of 6249 and 6255?

Answer: GCF of 6249 and 6255 is 3.

2. What are the Factors of 6249?

Answer: Factors of 6249 are 1, 3, 2083, 6249. There are 4 integers that are factors of 6249. The greatest factor of 6249 is 6249.

3. What are the Factors of 6255?

Answer: Factors of 6255 are 1, 3, 5, 9, 15, 45, 139, 417, 695, 1251, 2085, 6255. There are 12 integers that are factors of 6255. The greatest factor of 6255 is 6255.

4. How to Find the GCF of 6249 and 6255?

Answer:

Greatest Common Factor of 6249 and 6255 = 3

Step 1: Find the prime factorization of 6249

6249 = 3 x 2083

Step 2: Find the prime factorization of 6255

6255 = 3 x 3 x 5 x 139

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 6249 and 6255 is 3