Greatest Common Factor of 28214 and 28220

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, 28220 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 28214 and 28220 is 2.

GCF(28214,28220) = 2

GCF of 28214 and 28220

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

GCF of:
and

Greatest Common Factor of 28214 and 28220

GCF of 28214 and 28220 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 28220


2 28220
2 14110
5 7055
17 1411
83 83
1

Prime factors of 28220 are 2,5,17,83. Prime factorization of 28220 in exponential form is:

28220 = 22×51×171×831

∴ So by taking common prime factors GCF of 28214 and 28220 is 2

Greatest Common Factor of 28214 and 28220 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 28220

List of positive integer factors of 28220 that divides 28220 without a remainder.

1,2,4,5,10,17,20,34,68,83,85,166,170,332,340,415,830,1411,1660,2822,5644,7055,14110,28220

Greatest Common Factor

We found the factors and prime factorization of 28214 and 28220. The biggest common factor number is the GCF number.
So the greatest common factor 28214 and 28220 is 2.

Also check out the Least Common Multiple of 28214 and 28220

Properties of GCF 28214 and 28220

(i) The GCF of 28214 and 28220 is associative

GCF of 28214 and 28220 = GCF of 28220 and 28214

Related Greatest Common Factor of 28214

Related Greatest Common Factor of 28220

Frequently Asked Questions on GCF of 28214 and 28220

1. What is the GCF of 28214 and 28220?

Answer: GCF of 28214 and 28220 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 28220?

Answer: Factors of 28220 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 83, 85, 166, 170, 332, 340, 415, 830, 1411, 1660, 2822, 5644, 7055, 14110, 28220. There are 24 integers that are factors of 28220. The greatest factor of 28220 is 28220.

4. How to Find the GCF of 28214 and 28220?

Answer:

Greatest Common Factor of 28214 and 28220 = 2

Step 1: Find the prime factorization of 28214

28214 = 2 x 14107

Step 2: Find the prime factorization of 28220

28220 = 2 x 2 x 5 x 17 x 83

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 28220 is 2