Greatest Common Factor of 320 and 322

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 320, 322 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 320 and 322 is 2.

GCF(320,322) = 2

GCF of 320 and 322

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

GCF of:
and

Greatest Common Factor of 320 and 322 by Prime factorization method

Prime Factorization of 320


2 320
2 160
2 80
2 40
2 20
2 10
5 5
1

Prime factors of 320 are 2,5. Prime factorization of 320 in exponential form is:

320 = 26×51

Prime Factorization of 322


2 322
7 161
23 23
1

Prime factors of 322 are 2,7,23. Prime factorization of 322 in exponential form is:

322 = 21×71×231

∴ So by taking common prime factors GCF of 320 and 322 is 2

Greatest Common Factor of 320 and 322 by matching factors method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors and prime factorization of 320 and 322. The biggest common factor number is the GCF number.
So the greatest common factor 320 and 322 is 2.

Also check out the Least Common Multiple of 320 and 322

Properties of GCF 320 and 322

(i) The GCF of 320 and 322 is associative

GCF of 320 and 322 = GCF of 322 and 320

Frequently Asked Questions on GCF of 320 and 322

1. What is the GCF of 320 and 322?

Answer: GCF of 320 and 322 is 2.

2. What are the Factors of 320?

Answer: Factors of 320 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320. There are 14 integers that are factors of 320. The greatest factor of 320 is 320.

3. What are the Factors of 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

4. How to Find the GCF of 320 and 322?

Answer:

Greatest Common Factor of 320 and 322 = 2

Step 1: Find the prime factorization of 320

320 = 2 x 2 x 2 x 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 322

322 = 2 x 7 x 23

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 320 and 322 is 2

Greatest Common Factor of 320 and 322