Greatest Common Factor of 1322 and 1328

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 1322, 1328 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1322 and 1328 is 2.

GCF(1322,1328) = 2

GCF of 1322 and 1328

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

GCF of:
and

Greatest Common Factor of 1322 and 1328

GCF of 1322 and 1328 is 2

Prime Factorization of 1322


2 1322
661 661
1

Prime factors of 1322 are 2,661. Prime factorization of 1322 in exponential form is:

1322 = 21×6611

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

∴ So by taking common prime factors GCF of 1322 and 1328 is 2

Greatest Common Factor of 1322 and 1328 by matching factors method

Factors of 1322

List of positive integer factors of 1322 that divides 1322 without a remainder.

1,2,661,1322

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

Greatest Common Factor

We found the factors and prime factorization of 1322 and 1328. The biggest common factor number is the GCF number.
So the greatest common factor 1322 and 1328 is 2.

Also check out the Least Common Multiple of 1322 and 1328

Properties of GCF 1322 and 1328

(i) The GCF of 1322 and 1328 is associative

GCF of 1322 and 1328 = GCF of 1328 and 1322

Related Greatest Common Factor of 1322

Related Greatest Common Factor of 1328

Frequently Asked Questions on GCF of 1322 and 1328

1. What is the GCF of 1322 and 1328?

Answer: GCF of 1322 and 1328 is 2.

2. What are the Factors of 1322?

Answer: Factors of 1322 are 1, 2, 661, 1322. There are 4 integers that are factors of 1322. The greatest factor of 1322 is 1322.

3. 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.

4. How to Find the GCF of 1322 and 1328?

Answer:

Greatest Common Factor of 1322 and 1328 = 2

Step 1: Find the prime factorization of 1322

1322 = 2 x 661

Step 2: Find the prime factorization of 1328

1328 = 2 x 2 x 2 x 2 x 83

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 1322 and 1328 is 2