Greatest Common Factor of 4209 and 4214

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 4209, 4214 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4209 and 4214 is 1.

GCF(4209,4214) = 1

GCF of 4209 and 4214

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

GCF of:
and

Greatest Common Factor of 4209 and 4214

GCF of 4209 and 4214 is 1

Prime Factorization of 4209


3 4209
23 1403
61 61
1

Prime factors of 4209 are 3,23,61. Prime factorization of 4209 in exponential form is:

4209 = 31×231×611

Prime Factorization of 4214


2 4214
7 2107
7 301
43 43
1

Prime factors of 4214 are 2,7,43. Prime factorization of 4214 in exponential form is:

4214 = 21×72×431

∴ So by taking common prime factors GCF of 4209 and 4214 is 1

Greatest Common Factor of 4209 and 4214 by matching factors method

Factors of 4209

List of positive integer factors of 4209 that divides 4209 without a remainder.

1,3,23,61,69,183,1403,4209

Factors of 4214

List of positive integer factors of 4214 that divides 4214 without a remainder.

1,2,7,14,43,49,86,98,301,602,2107,4214

Greatest Common Factor

We found the factors and prime factorization of 4209 and 4214. The biggest common factor number is the GCF number.
So the greatest common factor 4209 and 4214 is 1.

Also check out the Least Common Multiple of 4209 and 4214

Properties of GCF 4209 and 4214

(i) The GCF of 4209 and 4214 is associative

GCF of 4209 and 4214 = GCF of 4214 and 4209

Related Greatest Common Factor of 4209

Related Greatest Common Factor of 4214

Frequently Asked Questions on GCF of 4209 and 4214

1. What is the GCF of 4209 and 4214?

Answer: GCF of 4209 and 4214 is 1.

2. What are the Factors of 4209?

Answer: Factors of 4209 are 1, 3, 23, 61, 69, 183, 1403, 4209. There are 8 integers that are factors of 4209. The greatest factor of 4209 is 4209.

3. What are the Factors of 4214?

Answer: Factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214. There are 12 integers that are factors of 4214. The greatest factor of 4214 is 4214.

4. How to Find the GCF of 4209 and 4214?

Answer:

Greatest Common Factor of 4209 and 4214 = 1

Step 1: Find the prime factorization of 4209

4209 = 3 x 23 x 61

Step 2: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

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 4209 and 4214 is 1