Greatest Common Factor of 28214 and 28218

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 28214, 28218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28214 and 28218 is 2.

GCF(28214,28218) = 2

GCF of 28214 and 28218

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

GCF of:
and

Greatest Common Factor of 28214 and 28218

GCF of 28214 and 28218 is 2

Prime Factorization of 28214


2 28214
14107 14107
1

Prime factors of 28214 are 2,14107. Prime factorization of 28214 in exponential form is:

28214 = 21×141071

Prime Factorization of 28218


2 28218
3 14109
4703 4703
1

Prime factors of 28218 are 2,3,4703. Prime factorization of 28218 in exponential form is:

28218 = 21×31×47031

∴ So by taking common prime factors GCF of 28214 and 28218 is 2

Greatest Common Factor of 28214 and 28218 by matching factors method

Factors of 28214

List of positive integer factors of 28214 that divides 28214 without a remainder.

1,2,14107,28214

Factors of 28218

List of positive integer factors of 28218 that divides 28218 without a remainder.

1,2,3,6,4703,9406,14109,28218

Greatest Common Factor

We found the factors and prime factorization of 28214 and 28218. The biggest common factor number is the GCF number.
So the greatest common factor 28214 and 28218 is 2.

Also check out the Least Common Multiple of 28214 and 28218

Properties of GCF 28214 and 28218

(i) The GCF of 28214 and 28218 is associative

GCF of 28214 and 28218 = GCF of 28218 and 28214

Related Greatest Common Factor of 28214

Related Greatest Common Factor of 28218

Frequently Asked Questions on GCF of 28214 and 28218

1. What is the GCF of 28214 and 28218?

Answer: GCF of 28214 and 28218 is 2.

2. What are the Factors of 28214?

Answer: Factors of 28214 are 1, 2, 14107, 28214. There are 4 integers that are factors of 28214. The greatest factor of 28214 is 28214.

3. What are the Factors of 28218?

Answer: Factors of 28218 are 1, 2, 3, 6, 4703, 9406, 14109, 28218. There are 8 integers that are factors of 28218. The greatest factor of 28218 is 28218.

4. How to Find the GCF of 28214 and 28218?

Answer:

Greatest Common Factor of 28214 and 28218 = 2

Step 1: Find the prime factorization of 28214

28214 = 2 x 14107

Step 2: Find the prime factorization of 28218

28218 = 2 x 3 x 4703

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 28214 and 28218 is 2