Greatest Common Factor of 13375 and 13381

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 13375, 13381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13375 and 13381 is 1.

GCF(13375,13381) = 1

GCF of 13375 and 13381

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

GCF of:
and

Greatest Common Factor of 13375 and 13381

GCF of 13375 and 13381 is 1

Prime Factorization of 13375


5 13375
5 2675
5 535
107 107
1

Prime factors of 13375 are 5,107. Prime factorization of 13375 in exponential form is:

13375 = 53×1071

Prime Factorization of 13381


13381 13381
1

Prime factors of 13381 are 13381. Prime factorization of 13381 in exponential form is:

13381 = 133811

∴ So by taking common prime factors GCF of 13375 and 13381 is 1

Greatest Common Factor of 13375 and 13381 by matching factors method

Factors of 13375

List of positive integer factors of 13375 that divides 13375 without a remainder.

1,5,25,107,125,535,2675,13375

Factors of 13381

List of positive integer factors of 13381 that divides 13381 without a remainder.

1,13381

Greatest Common Factor

We found the factors and prime factorization of 13375 and 13381. The biggest common factor number is the GCF number.
So the greatest common factor 13375 and 13381 is 1.

Also check out the Least Common Multiple of 13375 and 13381

Properties of GCF 13375 and 13381

(i) The GCF of 13375 and 13381 is associative

GCF of 13375 and 13381 = GCF of 13381 and 13375

Related Greatest Common Factor of 13375

Related Greatest Common Factor of 13381

Frequently Asked Questions on GCF of 13375 and 13381

1. What is the GCF of 13375 and 13381?

Answer: GCF of 13375 and 13381 is 1.

2. What are the Factors of 13375?

Answer: Factors of 13375 are 1, 5, 25, 107, 125, 535, 2675, 13375. There are 8 integers that are factors of 13375. The greatest factor of 13375 is 13375.

3. What are the Factors of 13381?

Answer: Factors of 13381 are 1, 13381. There are 2 integers that are factors of 13381. The greatest factor of 13381 is 13381.

4. How to Find the GCF of 13375 and 13381?

Answer:

Greatest Common Factor of 13375 and 13381 = 1

Step 1: Find the prime factorization of 13375

13375 = 5 x 5 x 5 x 107

Step 2: Find the prime factorization of 13381

13381 = 13381

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 13375 and 13381 is 1