Greatest Common Factor of 16220 and 16225

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, 16225 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16220 and 16225 is 5.

GCF(16220,16225) = 5

GCF of 16220 and 16225

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

GCF of:
and

Greatest Common Factor of 16220 and 16225

GCF of 16220 and 16225 is 5

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 16225


5 16225
5 3245
11 649
59 59
1

Prime factors of 16225 are 5,11,59. Prime factorization of 16225 in exponential form is:

16225 = 52×111×591

∴ So by taking common prime factors GCF of 16220 and 16225 is 5

Greatest Common Factor of 16220 and 16225 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 16225

List of positive integer factors of 16225 that divides 16225 without a remainder.

1,5,11,25,55,59,275,295,649,1475,3245,16225

Greatest Common Factor

We found the factors and prime factorization of 16220 and 16225. The biggest common factor number is the GCF number.
So the greatest common factor 16220 and 16225 is 5.

Also check out the Least Common Multiple of 16220 and 16225

Properties of GCF 16220 and 16225

(i) The GCF of 16220 and 16225 is associative

GCF of 16220 and 16225 = GCF of 16225 and 16220

Related Greatest Common Factor of 16220

Related Greatest Common Factor of 16225

Frequently Asked Questions on GCF of 16220 and 16225

1. What is the GCF of 16220 and 16225?

Answer: GCF of 16220 and 16225 is 5.

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 16225?

Answer: Factors of 16225 are 1, 5, 11, 25, 55, 59, 275, 295, 649, 1475, 3245, 16225. There are 12 integers that are factors of 16225. The greatest factor of 16225 is 16225.

4. How to Find the GCF of 16220 and 16225?

Answer:

Greatest Common Factor of 16220 and 16225 = 5

Step 1: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

Step 2: Find the prime factorization of 16225

16225 = 5 x 5 x 11 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 16220 and 16225 is 5