Greatest Common Factor of 3249 and 3255

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 3249, 3255 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3249 and 3255 is 3.

GCF(3249,3255) = 3

GCF of 3249 and 3255

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

GCF of:
and

Greatest Common Factor of 3249 and 3255

GCF of 3249 and 3255 is 3

Prime Factorization of 3249


3 3249
3 1083
19 361
19 19
1

Prime factors of 3249 are 3,19. Prime factorization of 3249 in exponential form is:

3249 = 32×192

Prime Factorization of 3255


3 3255
5 1085
7 217
31 31
1

Prime factors of 3255 are 3,5,7,31. Prime factorization of 3255 in exponential form is:

3255 = 31×51×71×311

∴ So by taking common prime factors GCF of 3249 and 3255 is 3

Greatest Common Factor of 3249 and 3255 by matching factors method

Factors of 3249

List of positive integer factors of 3249 that divides 3249 without a remainder.

1,3,9,19,57,171,361,1083,3249

Factors of 3255

List of positive integer factors of 3255 that divides 3255 without a remainder.

1,3,5,7,15,21,31,35,93,105,155,217,465,651,1085,3255

Greatest Common Factor

We found the factors and prime factorization of 3249 and 3255. The biggest common factor number is the GCF number.
So the greatest common factor 3249 and 3255 is 3.

Also check out the Least Common Multiple of 3249 and 3255

Properties of GCF 3249 and 3255

(i) The GCF of 3249 and 3255 is associative

GCF of 3249 and 3255 = GCF of 3255 and 3249

Related Greatest Common Factor of 3249

Related Greatest Common Factor of 3255

Frequently Asked Questions on GCF of 3249 and 3255

1. What is the GCF of 3249 and 3255?

Answer: GCF of 3249 and 3255 is 3.

2. What are the Factors of 3249?

Answer: Factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249. There are 9 integers that are factors of 3249. The greatest factor of 3249 is 3249.

3. What are the Factors of 3255?

Answer: Factors of 3255 are 1, 3, 5, 7, 15, 21, 31, 35, 93, 105, 155, 217, 465, 651, 1085, 3255. There are 16 integers that are factors of 3255. The greatest factor of 3255 is 3255.

4. How to Find the GCF of 3249 and 3255?

Answer:

Greatest Common Factor of 3249 and 3255 = 3

Step 1: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 3255

3255 = 3 x 5 x 7 x 31

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 3249 and 3255 is 3