Greatest Common Factor of 8314 and 8320

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, 8320 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8314 and 8320 is 2.

GCF(8314,8320) = 2

GCF of 8314 and 8320

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

GCF of:
and

Greatest Common Factor of 8314 and 8320

GCF of 8314 and 8320 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 8320


2 8320
2 4160
2 2080
2 1040
2 520
2 260
2 130
5 65
13 13
1

Prime factors of 8320 are 2,5,13. Prime factorization of 8320 in exponential form is:

8320 = 27×51×131

∴ So by taking common prime factors GCF of 8314 and 8320 is 2

Greatest Common Factor of 8314 and 8320 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 8320

List of positive integer factors of 8320 that divides 8320 without a remainder.

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors and prime factorization of 8314 and 8320. The biggest common factor number is the GCF number.
So the greatest common factor 8314 and 8320 is 2.

Also check out the Least Common Multiple of 8314 and 8320

Properties of GCF 8314 and 8320

(i) The GCF of 8314 and 8320 is associative

GCF of 8314 and 8320 = GCF of 8320 and 8314

Related Greatest Common Factor of 8314

Related Greatest Common Factor of 8320

Frequently Asked Questions on GCF of 8314 and 8320

1. What is the GCF of 8314 and 8320?

Answer: GCF of 8314 and 8320 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 8320?

Answer: Factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320. There are 32 integers that are factors of 8320. The greatest factor of 8320 is 8320.

4. How to Find the GCF of 8314 and 8320?

Answer:

Greatest Common Factor of 8314 and 8320 = 2

Step 1: Find the prime factorization of 8314

8314 = 2 x 4157

Step 2: Find the prime factorization of 8320

8320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

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 8320 is 2