Greatest Common Factor of 325 and 327

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 325, 327 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 325 and 327 is 1.

GCF(325,327) = 1

GCF of 325 and 327

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

GCF of:
and

Greatest Common Factor of 325 and 327

GCF of 325 and 327 is 1

Prime Factorization of 325


5 325
5 65
13 13
1

Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:

325 = 52×131

Prime Factorization of 327


3 327
109 109
1

Prime factors of 327 are 3,109. Prime factorization of 327 in exponential form is:

327 = 31×1091

∴ So by taking common prime factors GCF of 325 and 327 is 1

Greatest Common Factor of 325 and 327 by matching factors method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors and prime factorization of 325 and 327. The biggest common factor number is the GCF number.
So the greatest common factor 325 and 327 is 1.

Also check out the Least Common Multiple of 325 and 327

Properties of GCF 325 and 327

(i) The GCF of 325 and 327 is associative

GCF of 325 and 327 = GCF of 327 and 325

Frequently Asked Questions on GCF of 325 and 327

1. What is the GCF of 325 and 327?

Answer: GCF of 325 and 327 is 1.

2. What are the Factors of 325?

Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.

3. What are the Factors of 327?

Answer: Factors of 327 are 1, 3, 109, 327. There are 4 integers that are factors of 327. The greatest factor of 327 is 327.

4. How to Find the GCF of 325 and 327?

Answer:

Greatest Common Factor of 325 and 327 = 1

Step 1: Find the prime factorization of 325

325 = 5 x 5 x 13

Step 2: Find the prime factorization of 327

327 = 3 x 109

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 325 and 327 is 1