Greatest Common Factor of 7287 and 7289

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 7287, 7289 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7287 and 7289 is 1.

GCF(7287,7289) = 1

GCF of 7287 and 7289

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

GCF of:
and

Greatest Common Factor of 7287 and 7289

GCF of 7287 and 7289 is 1

Prime Factorization of 7287


3 7287
7 2429
347 347
1

Prime factors of 7287 are 3,7,347. Prime factorization of 7287 in exponential form is:

7287 = 31×71×3471

Prime Factorization of 7289


37 7289
197 197
1

Prime factors of 7289 are 37,197. Prime factorization of 7289 in exponential form is:

7289 = 371×1971

∴ So by taking common prime factors GCF of 7287 and 7289 is 1

Greatest Common Factor of 7287 and 7289 by matching factors method

Factors of 7287

List of positive integer factors of 7287 that divides 7287 without a remainder.

1,3,7,21,347,1041,2429,7287

Factors of 7289

List of positive integer factors of 7289 that divides 7289 without a remainder.

1,37,197,7289

Greatest Common Factor

We found the factors and prime factorization of 7287 and 7289. The biggest common factor number is the GCF number.
So the greatest common factor 7287 and 7289 is 1.

Also check out the Least Common Multiple of 7287 and 7289

Properties of GCF 7287 and 7289

(i) The GCF of 7287 and 7289 is associative

GCF of 7287 and 7289 = GCF of 7289 and 7287

Related Greatest Common Factor of 7287

Related Greatest Common Factor of 7289

Frequently Asked Questions on GCF of 7287 and 7289

1. What is the GCF of 7287 and 7289?

Answer: GCF of 7287 and 7289 is 1.

2. What are the Factors of 7287?

Answer: Factors of 7287 are 1, 3, 7, 21, 347, 1041, 2429, 7287. There are 8 integers that are factors of 7287. The greatest factor of 7287 is 7287.

3. What are the Factors of 7289?

Answer: Factors of 7289 are 1, 37, 197, 7289. There are 4 integers that are factors of 7289. The greatest factor of 7289 is 7289.

4. How to Find the GCF of 7287 and 7289?

Answer:

Greatest Common Factor of 7287 and 7289 = 1

Step 1: Find the prime factorization of 7287

7287 = 3 x 7 x 347

Step 2: Find the prime factorization of 7289

7289 = 37 x 197

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 7287 and 7289 is 1