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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 225 and 229 is associative
GCF of 225 and 229 = GCF of 229 and 225
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