Greatest Common Factor of 9249 and 9252

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 9249, 9252 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9249 and 9252 is 3.

GCF(9249,9252) = 3

GCF of 9249 and 9252

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

GCF of:
and

Greatest Common Factor of 9249 and 9252

GCF of 9249 and 9252 is 3

Prime Factorization of 9249


3 9249
3083 3083
1

Prime factors of 9249 are 3,3083. Prime factorization of 9249 in exponential form is:

9249 = 31×30831

Prime Factorization of 9252


2 9252
2 4626
3 2313
3 771
257 257
1

Prime factors of 9252 are 2,3,257. Prime factorization of 9252 in exponential form is:

9252 = 22×32×2571

∴ So by taking common prime factors GCF of 9249 and 9252 is 3

Greatest Common Factor of 9249 and 9252 by matching factors method

Factors of 9249

List of positive integer factors of 9249 that divides 9249 without a remainder.

1,3,3083,9249

Factors of 9252

List of positive integer factors of 9252 that divides 9252 without a remainder.

1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252

Greatest Common Factor

We found the factors and prime factorization of 9249 and 9252. The biggest common factor number is the GCF number.
So the greatest common factor 9249 and 9252 is 3.

Also check out the Least Common Multiple of 9249 and 9252

Properties of GCF 9249 and 9252

(i) The GCF of 9249 and 9252 is associative

GCF of 9249 and 9252 = GCF of 9252 and 9249

Related Greatest Common Factor of 9249

Related Greatest Common Factor of 9252

Frequently Asked Questions on GCF of 9249 and 9252

1. What is the GCF of 9249 and 9252?

Answer: GCF of 9249 and 9252 is 3.

2. What are the Factors of 9249?

Answer: Factors of 9249 are 1, 3, 3083, 9249. There are 4 integers that are factors of 9249. The greatest factor of 9249 is 9249.

3. What are the Factors of 9252?

Answer: Factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252. There are 18 integers that are factors of 9252. The greatest factor of 9252 is 9252.

4. How to Find the GCF of 9249 and 9252?

Answer:

Greatest Common Factor of 9249 and 9252 = 3

Step 1: Find the prime factorization of 9249

9249 = 3 x 3083

Step 2: Find the prime factorization of 9252

9252 = 2 x 2 x 3 x 3 x 257

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 9249 and 9252 is 3