Greatest Common Factor of 7207 and 7215

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 7207, 7215 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7207 and 7215 is 1.

GCF(7207,7215) = 1

GCF of 7207 and 7215

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

GCF of:
and

Greatest Common Factor of 7207 and 7215

GCF of 7207 and 7215 is 1

Prime Factorization of 7207


7207 7207
1

Prime factors of 7207 are 7207. Prime factorization of 7207 in exponential form is:

7207 = 72071

Prime Factorization of 7215


3 7215
5 2405
13 481
37 37
1

Prime factors of 7215 are 3.Prime factorization of 7215 in exponential form is:

7215 = 31×51×131×371

∴ So by taking common prime factors GCF of 7207 and 7215 is 1

Greatest Common Factor of 7207 and 7215 by matching factors method

Factors of 7207

List of positive integer factors of 7207 that divides 7207 without a remainder.

1,7207

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Greatest Common Factor

We found the factors and prime factorization of 7207 and 7215. The biggest common factor number is the GCF number.
So the greatest common factor 7207 and 7215 is 1.

Also check out the Least Common Multiple of 7207 and 7215

Properties of GCF 7207 and 7215

(i) The GCF of 7207 and 7215 is associative

GCF of 7207 and 7215 = GCF of 7215 and 7207

Frequently Asked Questions on GCF of 7207 and 7215

1. What is the GCF of 7207 and 7215?

Answer: GCF of 7207 and 7215 is 1.

2. What are the Factors of 7207?

Answer: Factors of 7207 are 1, 7207. There are 2 integers that are factors of 7207. The greatest factor of 7207 is 7207.

3. What are the Factors of 7215?

Answer: Factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215. There are 16 integers that are factors of 7215. The greatest factor of 7215 is 7215.

4. How to Find the GCF of 7207 and 7215?

Answer:

Greatest Common Factor of 7207 and 7215 = 1

Step 1: Find the prime factorization of 7207

7207 = 7207

Step 2: Find the prime factorization of 7215

7215 = 3 x 5 x 13 x 37

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 7207 and 7215 is 1