Greatest Common Factor of 8314 and 8322

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, 8322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8314 and 8322 is 2.

GCF(8314,8322) = 2

GCF of 8314 and 8322

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

GCF of:
and

Greatest Common Factor of 8314 and 8322

GCF of 8314 and 8322 is 2

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 8322


2 8322
3 4161
19 1387
73 73
1

Prime factors of 8322 are 2,3,19,73. Prime factorization of 8322 in exponential form is:

8322 = 21×31×191×731

∴ So by taking common prime factors GCF of 8314 and 8322 is 2

Greatest Common Factor of 8314 and 8322 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 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Greatest Common Factor

We found the factors and prime factorization of 8314 and 8322. The biggest common factor number is the GCF number.
So the greatest common factor 8314 and 8322 is 2.

Also check out the Least Common Multiple of 8314 and 8322

Properties of GCF 8314 and 8322

(i) The GCF of 8314 and 8322 is associative

GCF of 8314 and 8322 = GCF of 8322 and 8314

Related Greatest Common Factor of 8314

Related Greatest Common Factor of 8322

Frequently Asked Questions on GCF of 8314 and 8322

1. What is the GCF of 8314 and 8322?

Answer: GCF of 8314 and 8322 is 2.

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 8322?

Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.

4. How to Find the GCF of 8314 and 8322?

Answer:

Greatest Common Factor of 8314 and 8322 = 2

Step 1: Find the prime factorization of 8314

8314 = 2 x 4157

Step 2: Find the prime factorization of 8322

8322 = 2 x 3 x 19 x 73

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8314 and 8322 is 2