Greatest Common Factor of 1325 and 1327

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, 1327 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1325 and 1327 is 1.

GCF(1325,1327) = 1

GCF of 1325 and 1327

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

GCF of:
and

Greatest Common Factor of 1325 and 1327

GCF of 1325 and 1327 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 1327


1327 1327
1

Prime factors of 1327 are 1327. Prime factorization of 1327 in exponential form is:

1327 = 13271

∴ So by taking common prime factors GCF of 1325 and 1327 is 1

Greatest Common Factor of 1325 and 1327 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 1327

List of positive integer factors of 1327 that divides 1327 without a remainder.

1,1327

Greatest Common Factor

We found the factors and prime factorization of 1325 and 1327. The biggest common factor number is the GCF number.
So the greatest common factor 1325 and 1327 is 1.

Also check out the Least Common Multiple of 1325 and 1327

Properties of GCF 1325 and 1327

(i) The GCF of 1325 and 1327 is associative

GCF of 1325 and 1327 = GCF of 1327 and 1325

Related Greatest Common Factor of 1325

Related Greatest Common Factor of 1327

Frequently Asked Questions on GCF of 1325 and 1327

1. What is the GCF of 1325 and 1327?

Answer: GCF of 1325 and 1327 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 1327?

Answer: Factors of 1327 are 1, 1327. There are 2 integers that are factors of 1327. The greatest factor of 1327 is 1327.

4. How to Find the GCF of 1325 and 1327?

Answer:

Greatest Common Factor of 1325 and 1327 = 1

Step 1: Find the prime factorization of 1325

1325 = 5 x 5 x 53

Step 2: Find the prime factorization of 1327

1327 = 1327

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 1327 is 1