Greatest Common Factor of 3225 and 3231

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 3225, 3231 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3225 and 3231 is 3.

GCF(3225,3231) = 3

GCF of 3225 and 3231

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

GCF of:
and

Greatest Common Factor of 3225 and 3231

GCF of 3225 and 3231 is 3

Prime Factorization of 3225


3 3225
5 1075
5 215
43 43
1

Prime factors of 3225 are 3,5,43. Prime factorization of 3225 in exponential form is:

3225 = 31×52×431

Prime Factorization of 3231


3 3231
3 1077
359 359
1

Prime factors of 3231 are 3,359. Prime factorization of 3231 in exponential form is:

3231 = 32×3591

∴ So by taking common prime factors GCF of 3225 and 3231 is 3

Greatest Common Factor of 3225 and 3231 by matching factors method

Factors of 3225

List of positive integer factors of 3225 that divides 3225 without a remainder.

1,3,5,15,25,43,75,129,215,645,1075,3225

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1,3,9,359,1077,3231

Greatest Common Factor

We found the factors and prime factorization of 3225 and 3231. The biggest common factor number is the GCF number.
So the greatest common factor 3225 and 3231 is 3.

Also check out the Least Common Multiple of 3225 and 3231

Properties of GCF 3225 and 3231

(i) The GCF of 3225 and 3231 is associative

GCF of 3225 and 3231 = GCF of 3231 and 3225

Related Greatest Common Factor of 3225

Related Greatest Common Factor of 3231

Frequently Asked Questions on GCF of 3225 and 3231

1. What is the GCF of 3225 and 3231?

Answer: GCF of 3225 and 3231 is 3.

2. What are the Factors of 3225?

Answer: Factors of 3225 are 1, 3, 5, 15, 25, 43, 75, 129, 215, 645, 1075, 3225. There are 12 integers that are factors of 3225. The greatest factor of 3225 is 3225.

3. What are the Factors of 3231?

Answer: Factors of 3231 are 1, 3, 9, 359, 1077, 3231. There are 6 integers that are factors of 3231. The greatest factor of 3231 is 3231.

4. How to Find the GCF of 3225 and 3231?

Answer:

Greatest Common Factor of 3225 and 3231 = 3

Step 1: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 3231

3231 = 3 x 3 x 359

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 3225 and 3231 is 3