Greatest Common Factor of 249 and 252

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

Greatest common factor (GCF) of 249 and 252 is 3.

GCF(249,252) = 3

GCF of 249 and 252

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

GCF of:
and

Greatest Common Factor of 249 and 252

GCF of 249 and 252 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 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2,3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

∴ So by taking common prime factors GCF of 249 and 252 is 3

Greatest Common Factor of 249 and 252 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 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors and prime factorization of 249 and 252. The biggest common factor number is the GCF number.
So the greatest common factor 249 and 252 is 3.

Also check out the Least Common Multiple of 249 and 252

Properties of GCF 249 and 252

(i) The GCF of 249 and 252 is associative

GCF of 249 and 252 = GCF of 252 and 249

Related Greatest Common Factor of 249

Related Greatest Common Factor of 252

Frequently Asked Questions on GCF of 249 and 252

1. What is the GCF of 249 and 252?

Answer: GCF of 249 and 252 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 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

4. How to Find the GCF of 249 and 252?

Answer:

Greatest Common Factor of 249 and 252 = 3

Step 1: Find the prime factorization of 249

249 = 3 x 83

Step 2: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

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 252 is 3