Greatest Common Factor of 7313 and 7317

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 7313, 7317 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7313 and 7317 is 1.

GCF(7313,7317) = 1

GCF of 7313 and 7317

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

GCF of:
and

Greatest Common Factor of 7313 and 7317

GCF of 7313 and 7317 is 1

Prime Factorization of 7313


71 7313
103 103
1

Prime factors of 7313 are 71,103. Prime factorization of 7313 in exponential form is:

7313 = 711×1031

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

∴ So by taking common prime factors GCF of 7313 and 7317 is 1

Greatest Common Factor of 7313 and 7317 by matching factors method

Factors of 7313

List of positive integer factors of 7313 that divides 7313 without a remainder.

1,71,103,7313

Factors of 7317

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

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

Greatest Common Factor

We found the factors and prime factorization of 7313 and 7317. The biggest common factor number is the GCF number.
So the greatest common factor 7313 and 7317 is 1.

Also check out the Least Common Multiple of 7313 and 7317

Properties of GCF 7313 and 7317

(i) The GCF of 7313 and 7317 is associative

GCF of 7313 and 7317 = GCF of 7317 and 7313

Related Greatest Common Factor of 7313

Related Greatest Common Factor of 7317

Frequently Asked Questions on GCF of 7313 and 7317

1. What is the GCF of 7313 and 7317?

Answer: GCF of 7313 and 7317 is 1.

2. What are the Factors of 7313?

Answer: Factors of 7313 are 1, 71, 103, 7313. There are 4 integers that are factors of 7313. The greatest factor of 7313 is 7313.

3. 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.

4. How to Find the GCF of 7313 and 7317?

Answer:

Greatest Common Factor of 7313 and 7317 = 1

Step 1: Find the prime factorization of 7313

7313 = 71 x 103

Step 2: Find the prime factorization of 7317

7317 = 3 x 3 x 3 x 271

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 7313 and 7317 is 1