Greatest Common Factor of 4216 and 4218

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, 4218 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4216 and 4218 is 2.

GCF(4216,4218) = 2

GCF of 4216 and 4218

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

GCF of:
and

Greatest Common Factor of 4216 and 4218

GCF of 4216 and 4218 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 4218


2 4218
3 2109
19 703
37 37
1

Prime factors of 4218 are 2,3,19,37. Prime factorization of 4218 in exponential form is:

4218 = 21×31×191×371

∴ So by taking common prime factors GCF of 4216 and 4218 is 2

Greatest Common Factor of 4216 and 4218 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 4218

List of positive integer factors of 4218 that divides 4218 without a remainder.

1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218

Greatest Common Factor

We found the factors and prime factorization of 4216 and 4218. The biggest common factor number is the GCF number.
So the greatest common factor 4216 and 4218 is 2.

Also check out the Least Common Multiple of 4216 and 4218

Properties of GCF 4216 and 4218

(i) The GCF of 4216 and 4218 is associative

GCF of 4216 and 4218 = GCF of 4218 and 4216

Frequently Asked Questions on GCF of 4216 and 4218

1. What is the GCF of 4216 and 4218?

Answer: GCF of 4216 and 4218 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 4218?

Answer: Factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218. There are 16 integers that are factors of 4218. The greatest factor of 4218 is 4218.

4. How to Find the GCF of 4216 and 4218?

Answer:

Greatest Common Factor of 4216 and 4218 = 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 4218

4218 = 2 x 3 x 19 x 37

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 4218 is 2