Greatest Common Factor of 1325 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 1325, 1328 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1325 and 1328 is 1.

GCF(1325,1328) = 1

GCF of 1325 and 1328

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

GCF of:
and

Greatest Common Factor of 1325 and 1328

GCF of 1325 and 1328 is 1

Prime Factorization of 1325


5 1325
5 265
53 53
1

Prime factors of 1325 are 5,53. Prime factorization of 1325 in exponential form is:

1325 = 52×531

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 1325 and 1328 is 1

Greatest Common Factor of 1325 and 1328 by matching factors method

Factors of 1325

List of positive integer factors of 1325 that divides 1325 without a remainder.

1,5,25,53,265,1325

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 1325 and 1328. The biggest common factor number is the GCF number.
So the greatest common factor 1325 and 1328 is 1.

Also check out the Least Common Multiple of 1325 and 1328

Properties of GCF 1325 and 1328

(i) The GCF of 1325 and 1328 is associative

GCF of 1325 and 1328 = GCF of 1328 and 1325

Related Greatest Common Factor of 1325

Related Greatest Common Factor of 1328

Frequently Asked Questions on GCF of 1325 and 1328

1. What is the GCF of 1325 and 1328?

Answer: GCF of 1325 and 1328 is 1.

2. What are the Factors of 1325?

Answer: Factors of 1325 are 1, 5, 25, 53, 265, 1325. There are 6 integers that are factors of 1325. The greatest factor of 1325 is 1325.

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 1325 and 1328?

Answer:

Greatest Common Factor of 1325 and 1328 = 1

Step 1: Find the prime factorization of 1325

1325 = 5 x 5 x 53

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 = = 1

Step 4: Therefore, the greatest common factor of 1325 and 1328 is 1