Greatest Common Factor of 8314 and 8321

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 8314, 8321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8314 and 8321 is 1.

GCF(8314,8321) = 1

GCF of 8314 and 8321

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

GCF of:
and

Greatest Common Factor of 8314 and 8321

GCF of 8314 and 8321 is 1

Prime Factorization of 8314


2 8314
4157 4157
1

Prime factors of 8314 are 2,4157. Prime factorization of 8314 in exponential form is:

8314 = 21×41571

Prime Factorization of 8321


53 8321
157 157
1

Prime factors of 8321 are 53,157. Prime factorization of 8321 in exponential form is:

8321 = 531×1571

∴ So by taking common prime factors GCF of 8314 and 8321 is 1

Greatest Common Factor of 8314 and 8321 by matching factors method

Factors of 8314

List of positive integer factors of 8314 that divides 8314 without a remainder.

1,2,4157,8314

Factors of 8321

List of positive integer factors of 8321 that divides 8321 without a remainder.

1,53,157,8321

Greatest Common Factor

We found the factors and prime factorization of 8314 and 8321. The biggest common factor number is the GCF number.
So the greatest common factor 8314 and 8321 is 1.

Also check out the Least Common Multiple of 8314 and 8321

Properties of GCF 8314 and 8321

(i) The GCF of 8314 and 8321 is associative

GCF of 8314 and 8321 = GCF of 8321 and 8314

Related Greatest Common Factor of 8314

Related Greatest Common Factor of 8321

Frequently Asked Questions on GCF of 8314 and 8321

1. What is the GCF of 8314 and 8321?

Answer: GCF of 8314 and 8321 is 1.

2. What are the Factors of 8314?

Answer: Factors of 8314 are 1, 2, 4157, 8314. There are 4 integers that are factors of 8314. The greatest factor of 8314 is 8314.

3. What are the Factors of 8321?

Answer: Factors of 8321 are 1, 53, 157, 8321. There are 4 integers that are factors of 8321. The greatest factor of 8321 is 8321.

4. How to Find the GCF of 8314 and 8321?

Answer:

Greatest Common Factor of 8314 and 8321 = 1

Step 1: Find the prime factorization of 8314

8314 = 2 x 4157

Step 2: Find the prime factorization of 8321

8321 = 53 x 157

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 8314 and 8321 is 1