Greatest Common Factor of 7205 and 7210

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 7205, 7210 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7205 and 7210 is 5.

GCF(7205,7210) = 5

GCF of 7205 and 7210

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

GCF of:
and

Greatest Common Factor of 7205 and 7210

GCF of 7205 and 7210 is 5

Prime Factorization of 7205


5 7205
11 1441
131 131
1

Prime factors of 7205 are 5,11,131. Prime factorization of 7205 in exponential form is:

7205 = 51×111×1311

Prime Factorization of 7210


2 7210
5 3605
7 721
103 103
1

Prime factors of 7210 are 2,5,7,103. Prime factorization of 7210 in exponential form is:

7210 = 21×51×71×1031

∴ So by taking common prime factors GCF of 7205 and 7210 is 5

Greatest Common Factor of 7205 and 7210 by matching factors method

Factors of 7205

List of positive integer factors of 7205 that divides 7205 without a remainder.

1,5,11,55,131,655,1441,7205

Factors of 7210

List of positive integer factors of 7210 that divides 7210 without a remainder.

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors and prime factorization of 7205 and 7210. The biggest common factor number is the GCF number.
So the greatest common factor 7205 and 7210 is 5.

Also check out the Least Common Multiple of 7205 and 7210

Properties of GCF 7205 and 7210

(i) The GCF of 7205 and 7210 is associative

GCF of 7205 and 7210 = GCF of 7210 and 7205

Related Greatest Common Factor of 7205

Related Greatest Common Factor of 7210

Frequently Asked Questions on GCF of 7205 and 7210

1. What is the GCF of 7205 and 7210?

Answer: GCF of 7205 and 7210 is 5.

2. What are the Factors of 7205?

Answer: Factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205. There are 8 integers that are factors of 7205. The greatest factor of 7205 is 7205.

3. What are the Factors of 7210?

Answer: Factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210. There are 16 integers that are factors of 7210. The greatest factor of 7210 is 7210.

4. How to Find the GCF of 7205 and 7210?

Answer:

Greatest Common Factor of 7205 and 7210 = 5

Step 1: Find the prime factorization of 7205

7205 = 5 x 11 x 131

Step 2: Find the prime factorization of 7210

7210 = 2 x 5 x 7 x 103

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

GCF = 5

Step 4: Therefore, the greatest common factor of 7205 and 7210 is 5