Greatest Common Factor of 9313 and 9321

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 9313, 9321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9313 and 9321 is 1.

GCF(9313,9321) = 1

GCF of 9313 and 9321

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

GCF of:
and

Greatest Common Factor of 9313 and 9321

GCF of 9313 and 9321 is 1

Prime Factorization of 9313


67 9313
139 139
1

Prime factors of 9313 are 67,139. Prime factorization of 9313 in exponential form is:

9313 = 671×1391

Prime Factorization of 9321


3 9321
13 3107
239 239
1

Prime factors of 9321 are 3,13,239. Prime factorization of 9321 in exponential form is:

9321 = 31×131×2391

∴ So by taking common prime factors GCF of 9313 and 9321 is 1

Greatest Common Factor of 9313 and 9321 by matching factors method

Factors of 9313

List of positive integer factors of 9313 that divides 9313 without a remainder.

1,67,139,9313

Factors of 9321

List of positive integer factors of 9321 that divides 9321 without a remainder.

1,3,13,39,239,717,3107,9321

Greatest Common Factor

We found the factors and prime factorization of 9313 and 9321. The biggest common factor number is the GCF number.
So the greatest common factor 9313 and 9321 is 1.

Also check out the Least Common Multiple of 9313 and 9321

Properties of GCF 9313 and 9321

(i) The GCF of 9313 and 9321 is associative

GCF of 9313 and 9321 = GCF of 9321 and 9313

Frequently Asked Questions on GCF of 9313 and 9321

1. What is the GCF of 9313 and 9321?

Answer: GCF of 9313 and 9321 is 1.

2. What are the Factors of 9313?

Answer: Factors of 9313 are 1, 67, 139, 9313. There are 4 integers that are factors of 9313. The greatest factor of 9313 is 9313.

3. What are the Factors of 9321?

Answer: Factors of 9321 are 1, 3, 13, 39, 239, 717, 3107, 9321. There are 8 integers that are factors of 9321. The greatest factor of 9321 is 9321.

4. How to Find the GCF of 9313 and 9321?

Answer:

Greatest Common Factor of 9313 and 9321 = 1

Step 1: Find the prime factorization of 9313

9313 = 67 x 139

Step 2: Find the prime factorization of 9321

9321 = 3 x 13 x 239

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 9313 and 9321 is 1