Greatest Common Factor of 16212 and 16220

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 16212, 16220 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16212 and 16220 is 4.

GCF(16212,16220) = 4

GCF of 16212 and 16220

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

GCF of:
and

Greatest Common Factor of 16212 and 16220

GCF of 16212 and 16220 is 4

Prime Factorization of 16212


2 16212
2 8106
3 4053
7 1351
193 193
1

Prime factors of 16212 are 2,3,7,193. Prime factorization of 16212 in exponential form is:

16212 = 22×31×71×1931

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

∴ So by taking common prime factors GCF of 16212 and 16220 is 4

Greatest Common Factor of 16212 and 16220 by matching factors method

Factors of 16212

List of positive integer factors of 16212 that divides 16212 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,193,386,579,772,1158,1351,2316,2702,4053,5404,8106,16212

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

Greatest Common Factor

We found the factors and prime factorization of 16212 and 16220. The biggest common factor number is the GCF number.
So the greatest common factor 16212 and 16220 is 4.

Also check out the Least Common Multiple of 16212 and 16220

Properties of GCF 16212 and 16220

(i) The GCF of 16212 and 16220 is associative

GCF of 16212 and 16220 = GCF of 16220 and 16212

Related Greatest Common Factor of 16212

Related Greatest Common Factor of 16220

Frequently Asked Questions on GCF of 16212 and 16220

1. What is the GCF of 16212 and 16220?

Answer: GCF of 16212 and 16220 is 4.

2. What are the Factors of 16212?

Answer: Factors of 16212 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 193, 386, 579, 772, 1158, 1351, 2316, 2702, 4053, 5404, 8106, 16212. There are 24 integers that are factors of 16212. The greatest factor of 16212 is 16212.

3. 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.

4. How to Find the GCF of 16212 and 16220?

Answer:

Greatest Common Factor of 16212 and 16220 = 4

Step 1: Find the prime factorization of 16212

16212 = 2 x 2 x 3 x 7 x 193

Step 2: Find the prime factorization of 16220

16220 = 2 x 2 x 5 x 811

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 16212 and 16220 is 4