Greatest Common Factor of 16220 and 16224

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, 16224 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16220 and 16224 is 4.

GCF(16220,16224) = 4

GCF of 16220 and 16224

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

GCF of:
and

Greatest Common Factor of 16220 and 16224

GCF of 16220 and 16224 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 16224


2 16224
2 8112
2 4056
2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 16224 are 2,3,13. Prime factorization of 16224 in exponential form is:

16224 = 25×31×132

∴ So by taking common prime factors GCF of 16220 and 16224 is 4

Greatest Common Factor of 16220 and 16224 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 16224

List of positive integer factors of 16224 that divides 16224 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,169,208,312,338,416,507,624,676,1014,1248,1352,2028,2704,4056,5408,8112,16224

Greatest Common Factor

We found the factors and prime factorization of 16220 and 16224. The biggest common factor number is the GCF number.
So the greatest common factor 16220 and 16224 is 4.

Also check out the Least Common Multiple of 16220 and 16224

Properties of GCF 16220 and 16224

(i) The GCF of 16220 and 16224 is associative

GCF of 16220 and 16224 = GCF of 16224 and 16220

Related Greatest Common Factor of 16220

Related Greatest Common Factor of 16224

Frequently Asked Questions on GCF of 16220 and 16224

1. What is the GCF of 16220 and 16224?

Answer: GCF of 16220 and 16224 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 16224?

Answer: Factors of 16224 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 169, 208, 312, 338, 416, 507, 624, 676, 1014, 1248, 1352, 2028, 2704, 4056, 5408, 8112, 16224. There are 36 integers that are factors of 16224. The greatest factor of 16224 is 16224.

4. How to Find the GCF of 16220 and 16224?

Answer:

Greatest Common Factor of 16220 and 16224 = 4

Step 1: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

Step 2: Find the prime factorization of 16224

16224 = 2 x 2 x 2 x 2 x 2 x 3 x 13 x 13

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 16224 is 4