Greatest Common Factor of 2170 and 2175

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 2170, 2175 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2170 and 2175 is 5.

GCF(2170,2175) = 5

GCF of 2170 and 2175

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

GCF of:
and

Greatest Common Factor of 2170 and 2175

GCF of 2170 and 2175 is 5

Prime Factorization of 2170


2 2170
5 1085
7 217
31 31
1

Prime factors of 2170 are 2,5,7,31. Prime factorization of 2170 in exponential form is:

2170 = 21×51×71×311

Prime Factorization of 2175


3 2175
5 725
5 145
29 29
1

Prime factors of 2175 are 3,5,29. Prime factorization of 2175 in exponential form is:

2175 = 31×52×291

∴ So by taking common prime factors GCF of 2170 and 2175 is 5

Greatest Common Factor of 2170 and 2175 by matching factors method

Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1,2,5,7,10,14,31,35,62,70,155,217,310,434,1085,2170

Factors of 2175

List of positive integer factors of 2175 that divides 2175 without a remainder.

1,3,5,15,25,29,75,87,145,435,725,2175

Greatest Common Factor

We found the factors and prime factorization of 2170 and 2175. The biggest common factor number is the GCF number.
So the greatest common factor 2170 and 2175 is 5.

Also check out the Least Common Multiple of 2170 and 2175

Properties of GCF 2170 and 2175

(i) The GCF of 2170 and 2175 is associative

GCF of 2170 and 2175 = GCF of 2175 and 2170

Related Greatest Common Factor of 2170

Related Greatest Common Factor of 2175

Frequently Asked Questions on GCF of 2170 and 2175

1. What is the GCF of 2170 and 2175?

Answer: GCF of 2170 and 2175 is 5.

2. What are the Factors of 2170?

Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.

3. What are the Factors of 2175?

Answer: Factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175. There are 12 integers that are factors of 2175. The greatest factor of 2175 is 2175.

4. How to Find the GCF of 2170 and 2175?

Answer:

Greatest Common Factor of 2170 and 2175 = 5

Step 1: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 2175

2175 = 3 x 5 x 5 x 29

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 2170 and 2175 is 5