Greatest Common Factor of 3225 and 3227

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, 3227 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3225 and 3227 is 1.

GCF(3225,3227) = 1

GCF of 3225 and 3227

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

GCF of:
and

Greatest Common Factor of 3225 and 3227

GCF of 3225 and 3227 is 1

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 3227


7 3227
461 461
1

Prime factors of 3227 are 7,461. Prime factorization of 3227 in exponential form is:

3227 = 71×4611

∴ So by taking common prime factors GCF of 3225 and 3227 is 1

Greatest Common Factor of 3225 and 3227 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 3227

List of positive integer factors of 3227 that divides 3227 without a remainder.

1,7,461,3227

Greatest Common Factor

We found the factors and prime factorization of 3225 and 3227. The biggest common factor number is the GCF number.
So the greatest common factor 3225 and 3227 is 1.

Also check out the Least Common Multiple of 3225 and 3227

Properties of GCF 3225 and 3227

(i) The GCF of 3225 and 3227 is associative

GCF of 3225 and 3227 = GCF of 3227 and 3225

Related Greatest Common Factor of 3225

Related Greatest Common Factor of 3227

Frequently Asked Questions on GCF of 3225 and 3227

1. What is the GCF of 3225 and 3227?

Answer: GCF of 3225 and 3227 is 1.

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 3227?

Answer: Factors of 3227 are 1, 7, 461, 3227. There are 4 integers that are factors of 3227. The greatest factor of 3227 is 3227.

4. How to Find the GCF of 3225 and 3227?

Answer:

Greatest Common Factor of 3225 and 3227 = 1

Step 1: Find the prime factorization of 3225

3225 = 3 x 5 x 5 x 43

Step 2: Find the prime factorization of 3227

3227 = 7 x 461

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3225 and 3227 is 1