Greatest Common Factor of 2170 and 2174

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, 2174 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2170 and 2174 is 2.

GCF(2170,2174) = 2

GCF of 2170 and 2174

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

GCF of:
and

Greatest Common Factor of 2170 and 2174

GCF of 2170 and 2174 is 2

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 2174


2 2174
1087 1087
1

Prime factors of 2174 are 2,1087. Prime factorization of 2174 in exponential form is:

2174 = 21×10871

∴ So by taking common prime factors GCF of 2170 and 2174 is 2

Greatest Common Factor of 2170 and 2174 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 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1,2,1087,2174

Greatest Common Factor

We found the factors and prime factorization of 2170 and 2174. The biggest common factor number is the GCF number.
So the greatest common factor 2170 and 2174 is 2.

Also check out the Least Common Multiple of 2170 and 2174

Properties of GCF 2170 and 2174

(i) The GCF of 2170 and 2174 is associative

GCF of 2170 and 2174 = GCF of 2174 and 2170

Related Greatest Common Factor of 2170

Related Greatest Common Factor of 2174

Frequently Asked Questions on GCF of 2170 and 2174

1. What is the GCF of 2170 and 2174?

Answer: GCF of 2170 and 2174 is 2.

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 2174?

Answer: Factors of 2174 are 1, 2, 1087, 2174. There are 4 integers that are factors of 2174. The greatest factor of 2174 is 2174.

4. How to Find the GCF of 2170 and 2174?

Answer:

Greatest Common Factor of 2170 and 2174 = 2

Step 1: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 2174

2174 = 2 x 1087

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2170 and 2174 is 2