Greatest Common Factor of 2164 and 2170

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 2164, 2170 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2164 and 2170 is 2.

GCF(2164,2170) = 2

GCF of 2164 and 2170

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

GCF of:
and

Greatest Common Factor of 2164 and 2170

GCF of 2164 and 2170 is 2

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

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

∴ So by taking common prime factors GCF of 2164 and 2170 is 2

Greatest Common Factor of 2164 and 2170 by matching factors method

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1,2,4,541,1082,2164

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

Greatest Common Factor

We found the factors and prime factorization of 2164 and 2170. The biggest common factor number is the GCF number.
So the greatest common factor 2164 and 2170 is 2.

Also check out the Least Common Multiple of 2164 and 2170

Properties of GCF 2164 and 2170

(i) The GCF of 2164 and 2170 is associative

GCF of 2164 and 2170 = GCF of 2170 and 2164

Related Greatest Common Factor of 2164

Related Greatest Common Factor of 2170

Frequently Asked Questions on GCF of 2164 and 2170

1. What is the GCF of 2164 and 2170?

Answer: GCF of 2164 and 2170 is 2.

2. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

3. 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.

4. How to Find the GCF of 2164 and 2170?

Answer:

Greatest Common Factor of 2164 and 2170 = 2

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

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 2164 and 2170 is 2