Greatest Common Factor of 2214 and 2220

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 2214, 2220 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2214 and 2220 is 6.

GCF(2214,2220) = 6

GCF of 2214 and 2220

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

GCF of:
and

Greatest Common Factor of 2214 and 2220

GCF of 2214 and 2220 is 6

Prime Factorization of 2214


2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 2214 are 2,3,41. Prime factorization of 2214 in exponential form is:

2214 = 21×33×411

Prime Factorization of 2220


2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 2220 are 2,3,5,37. Prime factorization of 2220 in exponential form is:

2220 = 22×31×51×371

∴ So by taking common prime factors GCF of 2214 and 2220 is 6

Greatest Common Factor of 2214 and 2220 by matching factors method

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Factors of 2220

List of positive integer factors of 2220 that divides 2220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220

Greatest Common Factor

We found the factors and prime factorization of 2214 and 2220. The biggest common factor number is the GCF number.
So the greatest common factor 2214 and 2220 is 6.

Also check out the Least Common Multiple of 2214 and 2220

Properties of GCF 2214 and 2220

(i) The GCF of 2214 and 2220 is associative

GCF of 2214 and 2220 = GCF of 2220 and 2214

Related Greatest Common Factor of 2214

Related Greatest Common Factor of 2220

Frequently Asked Questions on GCF of 2214 and 2220

1. What is the GCF of 2214 and 2220?

Answer: GCF of 2214 and 2220 is 6.

2. What are the Factors of 2214?

Answer: Factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214. There are 16 integers that are factors of 2214. The greatest factor of 2214 is 2214.

3. What are the Factors of 2220?

Answer: Factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220. There are 24 integers that are factors of 2220. The greatest factor of 2220 is 2220.

4. How to Find the GCF of 2214 and 2220?

Answer:

Greatest Common Factor of 2214 and 2220 = 6

Step 1: Find the prime factorization of 2214

2214 = 2 x 3 x 3 x 3 x 41

Step 2: Find the prime factorization of 2220

2220 = 2 x 2 x 3 x 5 x 37

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2214 and 2220 is 6