Greatest Common Factor of 2210 and 2218

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 2210, 2218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2210 and 2218 is 2.

GCF(2210,2218) = 2

GCF of 2210 and 2218

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

GCF of:
and

Greatest Common Factor of 2210 and 2218

GCF of 2210 and 2218 is 2

Prime Factorization of 2210


2 2210
5 1105
13 221
17 17
1

Prime factors of 2210 are 2,5,13,17. Prime factorization of 2210 in exponential form is:

2210 = 21×51×131×171

Prime Factorization of 2218


2 2218
1109 1109
1

Prime factors of 2218 are 2,1109. Prime factorization of 2218 in exponential form is:

2218 = 21×11091

∴ So by taking common prime factors GCF of 2210 and 2218 is 2

Greatest Common Factor of 2210 and 2218 by matching factors method

Factors of 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1,2,5,10,13,17,26,34,65,85,130,170,221,442,1105,2210

Factors of 2218

List of positive integer factors of 2218 that divides 2218 without a remainder.

1,2,1109,2218

Greatest Common Factor

We found the factors and prime factorization of 2210 and 2218. The biggest common factor number is the GCF number.
So the greatest common factor 2210 and 2218 is 2.

Also check out the Least Common Multiple of 2210 and 2218

Properties of GCF 2210 and 2218

(i) The GCF of 2210 and 2218 is associative

GCF of 2210 and 2218 = GCF of 2218 and 2210

Related Greatest Common Factor of 2210

Related Greatest Common Factor of 2218

Frequently Asked Questions on GCF of 2210 and 2218

1. What is the GCF of 2210 and 2218?

Answer: GCF of 2210 and 2218 is 2.

2. What are the Factors of 2210?

Answer: Factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210. There are 16 integers that are factors of 2210. The greatest factor of 2210 is 2210.

3. What are the Factors of 2218?

Answer: Factors of 2218 are 1, 2, 1109, 2218. There are 4 integers that are factors of 2218. The greatest factor of 2218 is 2218.

4. How to Find the GCF of 2210 and 2218?

Answer:

Greatest Common Factor of 2210 and 2218 = 2

Step 1: Find the prime factorization of 2210

2210 = 2 x 5 x 13 x 17

Step 2: Find the prime factorization of 2218

2218 = 2 x 1109

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 2210 and 2218 is 2