Greatest Common Factor of 7225 and 7229

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 7225, 7229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7225 and 7229 is 1.

GCF(7225,7229) = 1

GCF of 7225 and 7229

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

GCF of:
and

Greatest Common Factor of 7225 and 7229

GCF of 7225 and 7229 is 1

Prime Factorization of 7225


5 7225
5 1445
17 289
17 17
1

Prime factors of 7225 are 5,17. Prime factorization of 7225 in exponential form is:

7225 = 52×172

Prime Factorization of 7229


7229 7229
1

Prime factors of 7229 are 7229. Prime factorization of 7229 in exponential form is:

7229 = 72291

∴ So by taking common prime factors GCF of 7225 and 7229 is 1

Greatest Common Factor of 7225 and 7229 by matching factors method

Factors of 7225

List of positive integer factors of 7225 that divides 7225 without a remainder.

1,5,17,25,85,289,425,1445,7225

Factors of 7229

List of positive integer factors of 7229 that divides 7229 without a remainder.

1,7229

Greatest Common Factor

We found the factors and prime factorization of 7225 and 7229. The biggest common factor number is the GCF number.
So the greatest common factor 7225 and 7229 is 1.

Also check out the Least Common Multiple of 7225 and 7229

Properties of GCF 7225 and 7229

(i) The GCF of 7225 and 7229 is associative

GCF of 7225 and 7229 = GCF of 7229 and 7225

Related Greatest Common Factor of 7225

Related Greatest Common Factor of 7229

Frequently Asked Questions on GCF of 7225 and 7229

1. What is the GCF of 7225 and 7229?

Answer: GCF of 7225 and 7229 is 1.

2. What are the Factors of 7225?

Answer: Factors of 7225 are 1, 5, 17, 25, 85, 289, 425, 1445, 7225. There are 9 integers that are factors of 7225. The greatest factor of 7225 is 7225.

3. What are the Factors of 7229?

Answer: Factors of 7229 are 1, 7229. There are 2 integers that are factors of 7229. The greatest factor of 7229 is 7229.

4. How to Find the GCF of 7225 and 7229?

Answer:

Greatest Common Factor of 7225 and 7229 = 1

Step 1: Find the prime factorization of 7225

7225 = 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 7229

7229 = 7229

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 7225 and 7229 is 1