Greatest Common Factor of 7317 and 7325

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 7317, 7325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7317 and 7325 is 1.

GCF(7317,7325) = 1

GCF of 7317 and 7325

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

GCF of:
and

Greatest Common Factor of 7317 and 7325

GCF of 7317 and 7325 is 1

Prime Factorization of 7317


3 7317
3 2439
3 813
271 271
1

Prime factors of 7317 are 3,271. Prime factorization of 7317 in exponential form is:

7317 = 33×2711

Prime Factorization of 7325


5 7325
5 1465
293 293
1

Prime factors of 7325 are 5,293. Prime factorization of 7325 in exponential form is:

7325 = 52×2931

∴ So by taking common prime factors GCF of 7317 and 7325 is 1

Greatest Common Factor of 7317 and 7325 by matching factors method

Factors of 7317

List of positive integer factors of 7317 that divides 7317 without a remainder.

1,3,9,27,271,813,2439,7317

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

Greatest Common Factor

We found the factors and prime factorization of 7317 and 7325. The biggest common factor number is the GCF number.
So the greatest common factor 7317 and 7325 is 1.

Also check out the Least Common Multiple of 7317 and 7325

Properties of GCF 7317 and 7325

(i) The GCF of 7317 and 7325 is associative

GCF of 7317 and 7325 = GCF of 7325 and 7317

Related Greatest Common Factor of 7317

Related Greatest Common Factor of 7325

Frequently Asked Questions on GCF of 7317 and 7325

1. What is the GCF of 7317 and 7325?

Answer: GCF of 7317 and 7325 is 1.

2. What are the Factors of 7317?

Answer: Factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317. There are 8 integers that are factors of 7317. The greatest factor of 7317 is 7317.

3. What are the Factors of 7325?

Answer: Factors of 7325 are 1, 5, 25, 293, 1465, 7325. There are 6 integers that are factors of 7325. The greatest factor of 7325 is 7325.

4. How to Find the GCF of 7317 and 7325?

Answer:

Greatest Common Factor of 7317 and 7325 = 1

Step 1: Find the prime factorization of 7317

7317 = 3 x 3 x 3 x 271

Step 2: Find the prime factorization of 7325

7325 = 5 x 5 x 293

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 7317 and 7325 is 1