Greatest Common Factor of 249 and 255

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 249, 255 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 249 and 255 is 3.

GCF(249,255) = 3

GCF of 249 and 255

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

GCF of:
and

Greatest Common Factor of 249 and 255

GCF of 249 and 255 is 3

Prime Factorization of 249


3 249
83 83
1

Prime factors of 249 are 3,83. Prime factorization of 249 in exponential form is:

249 = 31×831

Prime Factorization of 255


3 255
5 85
17 17
1

Prime factors of 255 are 3,5,17. Prime factorization of 255 in exponential form is:

255 = 31×51×171

∴ So by taking common prime factors GCF of 249 and 255 is 3

Greatest Common Factor of 249 and 255 by matching factors method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors and prime factorization of 249 and 255. The biggest common factor number is the GCF number.
So the greatest common factor 249 and 255 is 3.

Also check out the Least Common Multiple of 249 and 255

Properties of GCF 249 and 255

(i) The GCF of 249 and 255 is associative

GCF of 249 and 255 = GCF of 255 and 249

Related Greatest Common Factor of 249

Related Greatest Common Factor of 255

Frequently Asked Questions on GCF of 249 and 255

1. What is the GCF of 249 and 255?

Answer: GCF of 249 and 255 is 3.

2. What are the Factors of 249?

Answer: Factors of 249 are 1, 3, 83, 249. There are 4 integers that are factors of 249. The greatest factor of 249 is 249.

3. What are the Factors of 255?

Answer: Factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255. There are 8 integers that are factors of 255. The greatest factor of 255 is 255.

4. How to Find the GCF of 249 and 255?

Answer:

Greatest Common Factor of 249 and 255 = 3

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 255

255 = 3 x 5 x 17

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 249 and 255 is 3