Greatest Common Factor of 3249 and 3252

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, 3252 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3249 and 3252 is 3.

GCF(3249,3252) = 3

GCF of 3249 and 3252

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

GCF of:
and

Greatest Common Factor of 3249 and 3252

GCF of 3249 and 3252 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 3252


2 3252
2 1626
3 813
271 271
1

Prime factors of 3252 are 2,3,271. Prime factorization of 3252 in exponential form is:

3252 = 22×31×2711

∴ So by taking common prime factors GCF of 3249 and 3252 is 3

Greatest Common Factor of 3249 and 3252 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 3252

List of positive integer factors of 3252 that divides 3252 without a remainder.

1,2,3,4,6,12,271,542,813,1084,1626,3252

Greatest Common Factor

We found the factors and prime factorization of 3249 and 3252. The biggest common factor number is the GCF number.
So the greatest common factor 3249 and 3252 is 3.

Also check out the Least Common Multiple of 3249 and 3252

Properties of GCF 3249 and 3252

(i) The GCF of 3249 and 3252 is associative

GCF of 3249 and 3252 = GCF of 3252 and 3249

Related Greatest Common Factor of 3249

Related Greatest Common Factor of 3252

Frequently Asked Questions on GCF of 3249 and 3252

1. What is the GCF of 3249 and 3252?

Answer: GCF of 3249 and 3252 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 3252?

Answer: Factors of 3252 are 1, 2, 3, 4, 6, 12, 271, 542, 813, 1084, 1626, 3252. There are 12 integers that are factors of 3252. The greatest factor of 3252 is 3252.

4. How to Find the GCF of 3249 and 3252?

Answer:

Greatest Common Factor of 3249 and 3252 = 3

Step 1: Find the prime factorization of 3249

3249 = 3 x 3 x 19 x 19

Step 2: Find the prime factorization of 3252

3252 = 2 x 2 x 3 x 271

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 3252 is 3