Greatest Common Factor of 4216 and 4217

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, 4217 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4216 and 4217 is 1.

GCF(4216,4217) = 1

GCF of 4216 and 4217

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

GCF of:
and

Greatest Common Factor of 4216 and 4217

GCF of 4216 and 4217 is 1

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 4217


4217 4217
1

Prime factors of 4217 are 4217. Prime factorization of 4217 in exponential form is:

4217 = 42171

∴ So by taking common prime factors GCF of 4216 and 4217 is 1

Greatest Common Factor of 4216 and 4217 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 4217

List of positive integer factors of 4217 that divides 4217 without a remainder.

1,4217

Greatest Common Factor

We found the factors and prime factorization of 4216 and 4217. The biggest common factor number is the GCF number.
So the greatest common factor 4216 and 4217 is 1.

Also check out the Least Common Multiple of 4216 and 4217

Properties of GCF 4216 and 4217

(i) The GCF of 4216 and 4217 is associative

GCF of 4216 and 4217 = GCF of 4217 and 4216

Frequently Asked Questions on GCF of 4216 and 4217

1. What is the GCF of 4216 and 4217?

Answer: GCF of 4216 and 4217 is 1.

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 4217?

Answer: Factors of 4217 are 1, 4217. There are 2 integers that are factors of 4217. The greatest factor of 4217 is 4217.

4. How to Find the GCF of 4216 and 4217?

Answer:

Greatest Common Factor of 4216 and 4217 = 1

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 4217

4217 = 4217

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 4216 and 4217 is 1