Greatest Common Factor of 2205 and 2211

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 2205, 2211 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2205 and 2211 is 3.

GCF(2205,2211) = 3

GCF of 2205 and 2211

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

GCF of:
and

Greatest Common Factor of 2205 and 2211

GCF of 2205 and 2211 is 3

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3,5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

Prime Factorization of 2211


3 2211
11 737
67 67
1

Prime factors of 2211 are 3,11,67. Prime factorization of 2211 in exponential form is:

2211 = 31×111×671

∴ So by taking common prime factors GCF of 2205 and 2211 is 3

Greatest Common Factor of 2205 and 2211 by matching factors method

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1,3,5,7,9,15,21,35,45,49,63,105,147,245,315,441,735,2205

Factors of 2211

List of positive integer factors of 2211 that divides 2211 without a remainder.

1,3,11,33,67,201,737,2211

Greatest Common Factor

We found the factors and prime factorization of 2205 and 2211. The biggest common factor number is the GCF number.
So the greatest common factor 2205 and 2211 is 3.

Also check out the Least Common Multiple of 2205 and 2211

Properties of GCF 2205 and 2211

(i) The GCF of 2205 and 2211 is associative

GCF of 2205 and 2211 = GCF of 2211 and 2205

Related Greatest Common Factor of 2205

Related Greatest Common Factor of 2211

Frequently Asked Questions on GCF of 2205 and 2211

1. What is the GCF of 2205 and 2211?

Answer: GCF of 2205 and 2211 is 3.

2. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

3. What are the Factors of 2211?

Answer: Factors of 2211 are 1, 3, 11, 33, 67, 201, 737, 2211. There are 8 integers that are factors of 2211. The greatest factor of 2211 is 2211.

4. How to Find the GCF of 2205 and 2211?

Answer:

Greatest Common Factor of 2205 and 2211 = 3

Step 1: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 2211

2211 = 3 x 11 x 67

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

GCF = 3

Step 4: Therefore, the greatest common factor of 2205 and 2211 is 3