Greatest Common Factor of 13071 and 13075

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 13071, 13075 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13071 and 13075 is 1.

GCF(13071,13075) = 1

GCF of 13071 and 13075

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

GCF of:
and

Greatest Common Factor of 13071 and 13075

GCF of 13071 and 13075 is 1

Prime Factorization of 13071


3 13071
4357 4357
1

Prime factors of 13071 are 3,4357. Prime factorization of 13071 in exponential form is:

13071 = 31×43571

Prime Factorization of 13075


5 13075
5 2615
523 523
1

Prime factors of 13075 are 5,523. Prime factorization of 13075 in exponential form is:

13075 = 52×5231

∴ So by taking common prime factors GCF of 13071 and 13075 is 1

Greatest Common Factor of 13071 and 13075 by matching factors method

Factors of 13071

List of positive integer factors of 13071 that divides 13071 without a remainder.

1,3,4357,13071

Factors of 13075

List of positive integer factors of 13075 that divides 13075 without a remainder.

1,5,25,523,2615,13075

Greatest Common Factor

We found the factors and prime factorization of 13071 and 13075. The biggest common factor number is the GCF number.
So the greatest common factor 13071 and 13075 is 1.

Also check out the Least Common Multiple of 13071 and 13075

Properties of GCF 13071 and 13075

(i) The GCF of 13071 and 13075 is associative

GCF of 13071 and 13075 = GCF of 13075 and 13071

Related Greatest Common Factor of 13071

Related Greatest Common Factor of 13075

Frequently Asked Questions on GCF of 13071 and 13075

1. What is the GCF of 13071 and 13075?

Answer: GCF of 13071 and 13075 is 1.

2. What are the Factors of 13071?

Answer: Factors of 13071 are 1, 3, 4357, 13071. There are 4 integers that are factors of 13071. The greatest factor of 13071 is 13071.

3. What are the Factors of 13075?

Answer: Factors of 13075 are 1, 5, 25, 523, 2615, 13075. There are 6 integers that are factors of 13075. The greatest factor of 13075 is 13075.

4. How to Find the GCF of 13071 and 13075?

Answer:

Greatest Common Factor of 13071 and 13075 = 1

Step 1: Find the prime factorization of 13071

13071 = 3 x 4357

Step 2: Find the prime factorization of 13075

13075 = 5 x 5 x 523

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 13071 and 13075 is 1