Greatest Common Factor of 2205 and 2212

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, 2212 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2205 and 2212 is 7.

GCF(2205,2212) = 7

GCF of 2205 and 2212

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

GCF of:
and

Greatest Common Factor of 2205 and 2212

GCF of 2205 and 2212 is 7

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 2212


2 2212
2 1106
7 553
79 79
1

Prime factors of 2212 are 2,7,79. Prime factorization of 2212 in exponential form is:

2212 = 22×71×791

∴ So by taking common prime factors GCF of 2205 and 2212 is 7

Greatest Common Factor of 2205 and 2212 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 2212

List of positive integer factors of 2212 that divides 2212 without a remainder.

1,2,4,7,14,28,79,158,316,553,1106,2212

Greatest Common Factor

We found the factors and prime factorization of 2205 and 2212. The biggest common factor number is the GCF number.
So the greatest common factor 2205 and 2212 is 7.

Also check out the Least Common Multiple of 2205 and 2212

Properties of GCF 2205 and 2212

(i) The GCF of 2205 and 2212 is associative

GCF of 2205 and 2212 = GCF of 2212 and 2205

Related Greatest Common Factor of 2205

Related Greatest Common Factor of 2212

Frequently Asked Questions on GCF of 2205 and 2212

1. What is the GCF of 2205 and 2212?

Answer: GCF of 2205 and 2212 is 7.

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 2212?

Answer: Factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212. There are 12 integers that are factors of 2212. The greatest factor of 2212 is 2212.

4. How to Find the GCF of 2205 and 2212?

Answer:

Greatest Common Factor of 2205 and 2212 = 7

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 2212

2212 = 2 x 2 x 7 x 79

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2205 and 2212 is 7