Greatest Common Factor of 7204 and 7208

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, 7208 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7204 and 7208 is 4.

GCF(7204,7208) = 4

GCF of 7204 and 7208

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

GCF of:
and

Greatest Common Factor of 7204 and 7208

GCF of 7204 and 7208 is 4

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 7208


2 7208
2 3604
2 1802
17 901
53 53
1

Prime factors of 7208 are 2,17,53. Prime factorization of 7208 in exponential form is:

7208 = 23×171×531

∴ So by taking common prime factors GCF of 7204 and 7208 is 4

Greatest Common Factor of 7204 and 7208 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 7208

List of positive integer factors of 7208 that divides 7208 without a remainder.

1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208

Greatest Common Factor

We found the factors and prime factorization of 7204 and 7208. The biggest common factor number is the GCF number.
So the greatest common factor 7204 and 7208 is 4.

Also check out the Least Common Multiple of 7204 and 7208

Properties of GCF 7204 and 7208

(i) The GCF of 7204 and 7208 is associative

GCF of 7204 and 7208 = GCF of 7208 and 7204

Related Greatest Common Factor of 7204

Related Greatest Common Factor of 7208

Frequently Asked Questions on GCF of 7204 and 7208

1. What is the GCF of 7204 and 7208?

Answer: GCF of 7204 and 7208 is 4.

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 7208?

Answer: Factors of 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208. There are 16 integers that are factors of 7208. The greatest factor of 7208 is 7208.

4. How to Find the GCF of 7204 and 7208?

Answer:

Greatest Common Factor of 7204 and 7208 = 4

Step 1: Find the prime factorization of 7204

7204 = 2 x 2 x 1801

Step 2: Find the prime factorization of 7208

7208 = 2 x 2 x 2 x 17 x 53

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7204 and 7208 is 4