Greatest Common Factor of 246 and 249

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 246, 249 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 246 and 249 is 3.

GCF(246,249) = 3

GCF of 246 and 249

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

GCF of:
and

Greatest Common Factor of 246 and 249

GCF of 246 and 249 is 3

Prime Factorization of 246


2 246
3 123
41 41
1

Prime factors of 246 are 2,3,41. Prime factorization of 246 in exponential form is:

246 = 21×31×411

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

∴ So by taking common prime factors GCF of 246 and 249 is 3

Greatest Common Factor of 246 and 249 by matching factors method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 249

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

1,3,83,249

Greatest Common Factor

We found the factors and prime factorization of 246 and 249. The biggest common factor number is the GCF number.
So the greatest common factor 246 and 249 is 3.

Also check out the Least Common Multiple of 246 and 249

Properties of GCF 246 and 249

(i) The GCF of 246 and 249 is associative

GCF of 246 and 249 = GCF of 249 and 246

Related Greatest Common Factor of 246

Related Greatest Common Factor of 249

Frequently Asked Questions on GCF of 246 and 249

1. What is the GCF of 246 and 249?

Answer: GCF of 246 and 249 is 3.

2. What are the Factors of 246?

Answer: Factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246. There are 8 integers that are factors of 246. The greatest factor of 246 is 246.

3. 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.

4. How to Find the GCF of 246 and 249?

Answer:

Greatest Common Factor of 246 and 249 = 3

Step 1: Find the prime factorization of 246

246 = 2 x 3 x 41

Step 2: Find the prime factorization of 249

249 = 3 x 83

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 246 and 249 is 3