Greatest Common Factor of 13370 and 13375

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 13370, 13375 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13370 and 13375 is 5.

GCF(13370,13375) = 5

GCF of 13370 and 13375

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

GCF of:
and

Greatest Common Factor of 13370 and 13375

GCF of 13370 and 13375 is 5

Prime Factorization of 13370


2 13370
5 6685
7 1337
191 191
1

Prime factors of 13370 are 2,5,7,191. Prime factorization of 13370 in exponential form is:

13370 = 21×51×71×1911

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

∴ So by taking common prime factors GCF of 13370 and 13375 is 5

Greatest Common Factor of 13370 and 13375 by matching factors method

Factors of 13370

List of positive integer factors of 13370 that divides 13370 without a remainder.

1,2,5,7,10,14,35,70,191,382,955,1337,1910,2674,6685,13370

Factors of 13375

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

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

Greatest Common Factor

We found the factors and prime factorization of 13370 and 13375. The biggest common factor number is the GCF number.
So the greatest common factor 13370 and 13375 is 5.

Also check out the Least Common Multiple of 13370 and 13375

Properties of GCF 13370 and 13375

(i) The GCF of 13370 and 13375 is associative

GCF of 13370 and 13375 = GCF of 13375 and 13370

Related Greatest Common Factor of 13370

Related Greatest Common Factor of 13375

Frequently Asked Questions on GCF of 13370 and 13375

1. What is the GCF of 13370 and 13375?

Answer: GCF of 13370 and 13375 is 5.

2. What are the Factors of 13370?

Answer: Factors of 13370 are 1, 2, 5, 7, 10, 14, 35, 70, 191, 382, 955, 1337, 1910, 2674, 6685, 13370. There are 16 integers that are factors of 13370. The greatest factor of 13370 is 13370.

3. 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.

4. How to Find the GCF of 13370 and 13375?

Answer:

Greatest Common Factor of 13370 and 13375 = 5

Step 1: Find the prime factorization of 13370

13370 = 2 x 5 x 7 x 191

Step 2: Find the prime factorization of 13375

13375 = 5 x 5 x 5 x 107

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 13370 and 13375 is 5