Greatest Common Factor of 1328 and 1329

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 1328, 1329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1328 and 1329 is 1.

GCF(1328,1329) = 1

GCF of 1328 and 1329

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

GCF of:
and

Greatest Common Factor of 1328 and 1329

GCF of 1328 and 1329 is 1

Prime Factorization of 1328


2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 1328 are 2,83. Prime factorization of 1328 in exponential form is:

1328 = 24×831

Prime Factorization of 1329


3 1329
443 443
1

Prime factors of 1329 are 3,443. Prime factorization of 1329 in exponential form is:

1329 = 31×4431

∴ So by taking common prime factors GCF of 1328 and 1329 is 1

Greatest Common Factor of 1328 and 1329 by matching factors method

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1,2,4,8,16,83,166,332,664,1328

Factors of 1329

List of positive integer factors of 1329 that divides 1329 without a remainder.

1,3,443,1329

Greatest Common Factor

We found the factors and prime factorization of 1328 and 1329. The biggest common factor number is the GCF number.
So the greatest common factor 1328 and 1329 is 1.

Also check out the Least Common Multiple of 1328 and 1329

Properties of GCF 1328 and 1329

(i) The GCF of 1328 and 1329 is associative

GCF of 1328 and 1329 = GCF of 1329 and 1328

Related Greatest Common Factor of 1328

Related Greatest Common Factor of 1329

Frequently Asked Questions on GCF of 1328 and 1329

1. What is the GCF of 1328 and 1329?

Answer: GCF of 1328 and 1329 is 1.

2. What are the Factors of 1328?

Answer: Factors of 1328 are 1, 2, 4, 8, 16, 83, 166, 332, 664, 1328. There are 10 integers that are factors of 1328. The greatest factor of 1328 is 1328.

3. What are the Factors of 1329?

Answer: Factors of 1329 are 1, 3, 443, 1329. There are 4 integers that are factors of 1329. The greatest factor of 1329 is 1329.

4. How to Find the GCF of 1328 and 1329?

Answer:

Greatest Common Factor of 1328 and 1329 = 1

Step 1: Find the prime factorization of 1328

1328 = 2 x 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 1329

1329 = 3 x 443

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 1328 and 1329 is 1