Greatest Common Factor of 7204 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 7204, 7210 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7204 and 7210 is 2.

GCF(7204,7210) = 2

GCF of 7204 and 7210

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

GCF of:
and

Greatest Common Factor of 7204 and 7210

GCF of 7204 and 7210 is 2

Prime Factorization of 7204


2 7204
2 3602
1801 1801
1

Prime factors of 7204 are 2,1801. Prime factorization of 7204 in exponential form is:

7204 = 22×18011

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 7204 and 7210 is 2

Greatest Common Factor of 7204 and 7210 by matching factors method

Factors of 7204

List of positive integer factors of 7204 that divides 7204 without a remainder.

1,2,4,1801,3602,7204

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 7204 and 7210. The biggest common factor number is the GCF number.
So the greatest common factor 7204 and 7210 is 2.

Also check out the Least Common Multiple of 7204 and 7210

Properties of GCF 7204 and 7210

(i) The GCF of 7204 and 7210 is associative

GCF of 7204 and 7210 = GCF of 7210 and 7204

Related Greatest Common Factor of 7204

Related Greatest Common Factor of 7210

Frequently Asked Questions on GCF of 7204 and 7210

1. What is the GCF of 7204 and 7210?

Answer: GCF of 7204 and 7210 is 2.

2. What are the Factors of 7204?

Answer: Factors of 7204 are 1, 2, 4, 1801, 3602, 7204. There are 6 integers that are factors of 7204. The greatest factor of 7204 is 7204.

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 7204 and 7210?

Answer:

Greatest Common Factor of 7204 and 7210 = 2

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

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 = 2

Step 4: Therefore, the greatest common factor of 7204 and 7210 is 2