Greatest Common Factor of 16220 and 16228

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 16220, 16228 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16220 and 16228 is 4.

GCF(16220,16228) = 4

GCF of 16220 and 16228

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

GCF of:
and

Greatest Common Factor of 16220 and 16228

GCF of 16220 and 16228 is 4

Prime Factorization of 16220


2 16220
2 8110
5 4055
811 811
1

Prime factors of 16220 are 2,5,811. Prime factorization of 16220 in exponential form is:

16220 = 22×51×8111

Prime Factorization of 16228


2 16228
2 8114
4057 4057
1

Prime factors of 16228 are 2,4057. Prime factorization of 16228 in exponential form is:

16228 = 22×40571

∴ So by taking common prime factors GCF of 16220 and 16228 is 4

Greatest Common Factor of 16220 and 16228 by matching factors method

Factors of 16220

List of positive integer factors of 16220 that divides 16220 without a remainder.

1,2,4,5,10,20,811,1622,3244,4055,8110,16220

Factors of 16228

List of positive integer factors of 16228 that divides 16228 without a remainder.

1,2,4,4057,8114,16228

Greatest Common Factor

We found the factors and prime factorization of 16220 and 16228. The biggest common factor number is the GCF number.
So the greatest common factor 16220 and 16228 is 4.

Also check out the Least Common Multiple of 16220 and 16228

Properties of GCF 16220 and 16228

(i) The GCF of 16220 and 16228 is associative

GCF of 16220 and 16228 = GCF of 16228 and 16220

Related Greatest Common Factor of 16220

Related Greatest Common Factor of 16228

Frequently Asked Questions on GCF of 16220 and 16228

1. What is the GCF of 16220 and 16228?

Answer: GCF of 16220 and 16228 is 4.

2. What are the Factors of 16220?

Answer: Factors of 16220 are 1, 2, 4, 5, 10, 20, 811, 1622, 3244, 4055, 8110, 16220. There are 12 integers that are factors of 16220. The greatest factor of 16220 is 16220.

3. What are the Factors of 16228?

Answer: Factors of 16228 are 1, 2, 4, 4057, 8114, 16228. There are 6 integers that are factors of 16228. The greatest factor of 16228 is 16228.

4. How to Find the GCF of 16220 and 16228?

Answer:

Greatest Common Factor of 16220 and 16228 = 4

Step 1: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

Step 2: Find the prime factorization of 16228

16228 = 2 x 2 x 4057

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 16220 and 16228 is 4