Greatest Common Factor of 225 and 229

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 225, 229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 225 and 229 is 1.

GCF(225,229) = 1

GCF of 225 and 229

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

GCF of:
and

Greatest Common Factor of 225 and 229

GCF of 225 and 229 is 1

Prime Factorization of 225


3 225
3 75
5 25
5 5
1

Prime factors of 225 are 3,5. Prime factorization of 225 in exponential form is:

225 = 32×52

Prime Factorization of 229


229 229
1

Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:

229 = 2291

∴ So by taking common prime factors GCF of 225 and 229 is 1

Greatest Common Factor of 225 and 229 by matching factors method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Greatest Common Factor

We found the factors and prime factorization of 225 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 225 and 229 is 1.

Also check out the Least Common Multiple of 225 and 229

Properties of GCF 225 and 229

(i) The GCF of 225 and 229 is associative

GCF of 225 and 229 = GCF of 229 and 225

Related Greatest Common Factor of 225

Related Greatest Common Factor of 229

Frequently Asked Questions on GCF of 225 and 229

1. What is the GCF of 225 and 229?

Answer: GCF of 225 and 229 is 1.

2. What are the Factors of 225?

Answer: Factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225. There are 9 integers that are factors of 225. The greatest factor of 225 is 225.

3. What are the Factors of 229?

Answer: Factors of 229 are 1, 229. There are 2 integers that are factors of 229. The greatest factor of 229 is 229.

4. How to Find the GCF of 225 and 229?

Answer:

Greatest Common Factor of 225 and 229 = 1

Step 1: Find the prime factorization of 225

225 = 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 229

229 = 229

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 225 and 229 is 1