Greatest Common Factor of 7218 and 7225

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 7218, 7225 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7218 and 7225 is 1.

GCF(7218,7225) = 1

GCF of 7218 and 7225

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

GCF of:
and

Greatest Common Factor of 7218 and 7225

GCF of 7218 and 7225 is 1

Prime Factorization of 7218


2 7218
3 3609
3 1203
401 401
1

Prime factors of 7218 are 2,3,401. Prime factorization of 7218 in exponential form is:

7218 = 21×32×4011

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

∴ So by taking common prime factors GCF of 7218 and 7225 is 1

Greatest Common Factor of 7218 and 7225 by matching factors method

Factors of 7218

List of positive integer factors of 7218 that divides 7218 without a remainder.

1,2,3,6,9,18,401,802,1203,2406,3609,7218

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

Greatest Common Factor

We found the factors and prime factorization of 7218 and 7225. The biggest common factor number is the GCF number.
So the greatest common factor 7218 and 7225 is 1.

Also check out the Least Common Multiple of 7218 and 7225

Properties of GCF 7218 and 7225

(i) The GCF of 7218 and 7225 is associative

GCF of 7218 and 7225 = GCF of 7225 and 7218

Related Greatest Common Factor of 7218

Related Greatest Common Factor of 7225

Frequently Asked Questions on GCF of 7218 and 7225

1. What is the GCF of 7218 and 7225?

Answer: GCF of 7218 and 7225 is 1.

2. What are the Factors of 7218?

Answer: Factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218. There are 12 integers that are factors of 7218. The greatest factor of 7218 is 7218.

3. 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.

4. How to Find the GCF of 7218 and 7225?

Answer:

Greatest Common Factor of 7218 and 7225 = 1

Step 1: Find the prime factorization of 7218

7218 = 2 x 3 x 3 x 401

Step 2: Find the prime factorization of 7225

7225 = 5 x 5 x 17 x 17

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 7218 and 7225 is 1