Greatest Common Factor of 31325 and 31329

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 31325, 31329 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31325 and 31329 is 1.

GCF(31325,31329) = 1

GCF of 31325 and 31329

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

GCF of:
and

Greatest Common Factor of 31325 and 31329

GCF of 31325 and 31329 is 1

Prime Factorization of 31325


5 31325
5 6265
7 1253
179 179
1

Prime factors of 31325 are 5,7,179. Prime factorization of 31325 in exponential form is:

31325 = 52×71×1791

Prime Factorization of 31329


3 31329
3 10443
59 3481
59 59
1

Prime factors of 31329 are 3,59. Prime factorization of 31329 in exponential form is:

31329 = 32×592

∴ So by taking common prime factors GCF of 31325 and 31329 is 1

Greatest Common Factor of 31325 and 31329 by matching factors method

Factors of 31325

List of positive integer factors of 31325 that divides 31325 without a remainder.

1,5,7,25,35,175,179,895,1253,4475,6265,31325

Factors of 31329

List of positive integer factors of 31329 that divides 31329 without a remainder.

1,3,9,59,177,531,3481,10443,31329

Greatest Common Factor

We found the factors and prime factorization of 31325 and 31329. The biggest common factor number is the GCF number.
So the greatest common factor 31325 and 31329 is 1.

Also check out the Least Common Multiple of 31325 and 31329

Properties of GCF 31325 and 31329

(i) The GCF of 31325 and 31329 is associative

GCF of 31325 and 31329 = GCF of 31329 and 31325

Related Greatest Common Factor of 31325

Related Greatest Common Factor of 31329

Frequently Asked Questions on GCF of 31325 and 31329

1. What is the GCF of 31325 and 31329?

Answer: GCF of 31325 and 31329 is 1.

2. What are the Factors of 31325?

Answer: Factors of 31325 are 1, 5, 7, 25, 35, 175, 179, 895, 1253, 4475, 6265, 31325. There are 12 integers that are factors of 31325. The greatest factor of 31325 is 31325.

3. What are the Factors of 31329?

Answer: Factors of 31329 are 1, 3, 9, 59, 177, 531, 3481, 10443, 31329. There are 9 integers that are factors of 31329. The greatest factor of 31329 is 31329.

4. How to Find the GCF of 31325 and 31329?

Answer:

Greatest Common Factor of 31325 and 31329 = 1

Step 1: Find the prime factorization of 31325

31325 = 5 x 5 x 7 x 179

Step 2: Find the prime factorization of 31329

31329 = 3 x 3 x 59 x 59

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 31325 and 31329 is 1