Greatest Common Factor of 6255 and 6261

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 6255, 6261 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6255 and 6261 is 3.

GCF(6255,6261) = 3

GCF of 6255 and 6261

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

GCF of:
and

Greatest Common Factor of 6255 and 6261

GCF of 6255 and 6261 is 3

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

Prime Factorization of 6261


3 6261
2087 2087
1

Prime factors of 6261 are 3,2087. Prime factorization of 6261 in exponential form is:

6261 = 31×20871

∴ So by taking common prime factors GCF of 6255 and 6261 is 3

Greatest Common Factor of 6255 and 6261 by matching factors method

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

Factors of 6261

List of positive integer factors of 6261 that divides 6261 without a remainder.

1,3,2087,6261

Greatest Common Factor

We found the factors and prime factorization of 6255 and 6261. The biggest common factor number is the GCF number.
So the greatest common factor 6255 and 6261 is 3.

Also check out the Least Common Multiple of 6255 and 6261

Properties of GCF 6255 and 6261

(i) The GCF of 6255 and 6261 is associative

GCF of 6255 and 6261 = GCF of 6261 and 6255

Related Greatest Common Factor of 6255

Related Greatest Common Factor of 6261

Frequently Asked Questions on GCF of 6255 and 6261

1. What is the GCF of 6255 and 6261?

Answer: GCF of 6255 and 6261 is 3.

2. 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.

3. What are the Factors of 6261?

Answer: Factors of 6261 are 1, 3, 2087, 6261. There are 4 integers that are factors of 6261. The greatest factor of 6261 is 6261.

4. How to Find the GCF of 6255 and 6261?

Answer:

Greatest Common Factor of 6255 and 6261 = 3

Step 1: Find the prime factorization of 6255

6255 = 3 x 3 x 5 x 139

Step 2: Find the prime factorization of 6261

6261 = 3 x 2087

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 6255 and 6261 is 3