Greatest Common Factor of 7205 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 7205, 7208 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7205 and 7208 is 1.

GCF(7205,7208) = 1

GCF of 7205 and 7208

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

GCF of:
and

Greatest Common Factor of 7205 and 7208

GCF of 7205 and 7208 is 1

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 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 7205 and 7208 is 1

Greatest Common Factor of 7205 and 7208 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 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 7205 and 7208. The biggest common factor number is the GCF number.
So the greatest common factor 7205 and 7208 is 1.

Also check out the Least Common Multiple of 7205 and 7208

Properties of GCF 7205 and 7208

(i) The GCF of 7205 and 7208 is associative

GCF of 7205 and 7208 = GCF of 7208 and 7205

Related Greatest Common Factor of 7205

Related Greatest Common Factor of 7208

Frequently Asked Questions on GCF of 7205 and 7208

1. What is the GCF of 7205 and 7208?

Answer: GCF of 7205 and 7208 is 1.

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 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 7205 and 7208?

Answer:

Greatest Common Factor of 7205 and 7208 = 1

Step 1: Find the prime factorization of 7205

7205 = 5 x 11 x 131

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 = = 1

Step 4: Therefore, the greatest common factor of 7205 and 7208 is 1