Greatest Common Factor of 4216 and 4222

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 4216, 4222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4216 and 4222 is 2.

GCF(4216,4222) = 2

GCF of 4216 and 4222

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

GCF of:
and

Greatest Common Factor of 4216 and 4222

GCF of 4216 and 4222 is 2

Prime Factorization of 4216


2 4216
2 2108
2 1054
17 527
31 31
1

Prime factors of 4216 are 2,17,31. Prime factorization of 4216 in exponential form is:

4216 = 23×171×311

Prime Factorization of 4222


2 4222
2111 2111
1

Prime factors of 4222 are 2,2111. Prime factorization of 4222 in exponential form is:

4222 = 21×21111

∴ So by taking common prime factors GCF of 4216 and 4222 is 2

Greatest Common Factor of 4216 and 4222 by matching factors method

Factors of 4216

List of positive integer factors of 4216 that divides 4216 without a remainder.

1,2,4,8,17,31,34,62,68,124,136,248,527,1054,2108,4216

Factors of 4222

List of positive integer factors of 4222 that divides 4222 without a remainder.

1,2,2111,4222

Greatest Common Factor

We found the factors and prime factorization of 4216 and 4222. The biggest common factor number is the GCF number.
So the greatest common factor 4216 and 4222 is 2.

Also check out the Least Common Multiple of 4216 and 4222

Properties of GCF 4216 and 4222

(i) The GCF of 4216 and 4222 is associative

GCF of 4216 and 4222 = GCF of 4222 and 4216

Related Greatest Common Factor of 4216

Related Greatest Common Factor of 4222

Frequently Asked Questions on GCF of 4216 and 4222

1. What is the GCF of 4216 and 4222?

Answer: GCF of 4216 and 4222 is 2.

2. What are the Factors of 4216?

Answer: Factors of 4216 are 1, 2, 4, 8, 17, 31, 34, 62, 68, 124, 136, 248, 527, 1054, 2108, 4216. There are 16 integers that are factors of 4216. The greatest factor of 4216 is 4216.

3. What are the Factors of 4222?

Answer: Factors of 4222 are 1, 2, 2111, 4222. There are 4 integers that are factors of 4222. The greatest factor of 4222 is 4222.

4. How to Find the GCF of 4216 and 4222?

Answer:

Greatest Common Factor of 4216 and 4222 = 2

Step 1: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

Step 2: Find the prime factorization of 4222

4222 = 2 x 2111

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 4216 and 4222 is 2