Greatest Common Factor of 5370 and 5375

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 5370, 5375 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5370 and 5375 is 5.

GCF(5370,5375) = 5

GCF of 5370 and 5375

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

GCF of:
and

Greatest Common Factor of 5370 and 5375

GCF of 5370 and 5375 is 5

Prime Factorization of 5370


2 5370
3 2685
5 895
179 179
1

Prime factors of 5370 are 2,3,5,179. Prime factorization of 5370 in exponential form is:

5370 = 21×31×51×1791

Prime Factorization of 5375


5 5375
5 1075
5 215
43 43
1

Prime factors of 5375 are 5,43. Prime factorization of 5375 in exponential form is:

5375 = 53×431

∴ So by taking common prime factors GCF of 5370 and 5375 is 5

Greatest Common Factor of 5370 and 5375 by matching factors method

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1,2,3,5,6,10,15,30,179,358,537,895,1074,1790,2685,5370

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Greatest Common Factor

We found the factors and prime factorization of 5370 and 5375. The biggest common factor number is the GCF number.
So the greatest common factor 5370 and 5375 is 5.

Also check out the Least Common Multiple of 5370 and 5375

Properties of GCF 5370 and 5375

(i) The GCF of 5370 and 5375 is associative

GCF of 5370 and 5375 = GCF of 5375 and 5370

Related Greatest Common Factor of 5370

Related Greatest Common Factor of 5375

Frequently Asked Questions on GCF of 5370 and 5375

1. What is the GCF of 5370 and 5375?

Answer: GCF of 5370 and 5375 is 5.

2. What are the Factors of 5370?

Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.

3. What are the Factors of 5375?

Answer: Factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375. There are 8 integers that are factors of 5375. The greatest factor of 5375 is 5375.

4. How to Find the GCF of 5370 and 5375?

Answer:

Greatest Common Factor of 5370 and 5375 = 5

Step 1: Find the prime factorization of 5370

5370 = 2 x 3 x 5 x 179

Step 2: Find the prime factorization of 5375

5375 = 5 x 5 x 5 x 43

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 5370 and 5375 is 5