Greatest Common Factor of 4210 and 4216

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 4210, 4216 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4210 and 4216 is 2.

GCF(4210,4216) = 2

GCF of 4210 and 4216

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

GCF of:
and

Greatest Common Factor of 4210 and 4216

GCF of 4210 and 4216 is 2

Prime Factorization of 4210


2 4210
5 2105
421 421
1

Prime factors of 4210 are 2,5,421. Prime factorization of 4210 in exponential form is:

4210 = 21×51×4211

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

∴ So by taking common prime factors GCF of 4210 and 4216 is 2

Greatest Common Factor of 4210 and 4216 by matching factors method

Factors of 4210

List of positive integer factors of 4210 that divides 4210 without a remainder.

1,2,5,10,421,842,2105,4210

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

Greatest Common Factor

We found the factors and prime factorization of 4210 and 4216. The biggest common factor number is the GCF number.
So the greatest common factor 4210 and 4216 is 2.

Also check out the Least Common Multiple of 4210 and 4216

Properties of GCF 4210 and 4216

(i) The GCF of 4210 and 4216 is associative

GCF of 4210 and 4216 = GCF of 4216 and 4210

Related Greatest Common Factor of 4210

Related Greatest Common Factor of 4216

Frequently Asked Questions on GCF of 4210 and 4216

1. What is the GCF of 4210 and 4216?

Answer: GCF of 4210 and 4216 is 2.

2. What are the Factors of 4210?

Answer: Factors of 4210 are 1, 2, 5, 10, 421, 842, 2105, 4210. There are 8 integers that are factors of 4210. The greatest factor of 4210 is 4210.

3. 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.

4. How to Find the GCF of 4210 and 4216?

Answer:

Greatest Common Factor of 4210 and 4216 = 2

Step 1: Find the prime factorization of 4210

4210 = 2 x 5 x 421

Step 2: Find the prime factorization of 4216

4216 = 2 x 2 x 2 x 17 x 31

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 4210 and 4216 is 2