Greatest Common Factor of 4221 and 4227

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 4221, 4227 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4221 and 4227 is 3.

GCF(4221,4227) = 3

GCF of 4221 and 4227

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

GCF of:
and

Greatest Common Factor of 4221 and 4227

GCF of 4221 and 4227 is 3

Prime Factorization of 4221


3 4221
3 1407
7 469
67 67
1

Prime factors of 4221 are 3,7,67. Prime factorization of 4221 in exponential form is:

4221 = 32×71×671

Prime Factorization of 4227


3 4227
1409 1409
1

Prime factors of 4227 are 3,1409. Prime factorization of 4227 in exponential form is:

4227 = 31×14091

∴ So by taking common prime factors GCF of 4221 and 4227 is 3

Greatest Common Factor of 4221 and 4227 by matching factors method

Factors of 4221

List of positive integer factors of 4221 that divides 4221 without a remainder.

1,3,7,9,21,63,67,201,469,603,1407,4221

Factors of 4227

List of positive integer factors of 4227 that divides 4227 without a remainder.

1,3,1409,4227

Greatest Common Factor

We found the factors and prime factorization of 4221 and 4227. The biggest common factor number is the GCF number.
So the greatest common factor 4221 and 4227 is 3.

Also check out the Least Common Multiple of 4221 and 4227

Properties of GCF 4221 and 4227

(i) The GCF of 4221 and 4227 is associative

GCF of 4221 and 4227 = GCF of 4227 and 4221

Related Greatest Common Factor of 4221

Related Greatest Common Factor of 4227

Frequently Asked Questions on GCF of 4221 and 4227

1. What is the GCF of 4221 and 4227?

Answer: GCF of 4221 and 4227 is 3.

2. What are the Factors of 4221?

Answer: Factors of 4221 are 1, 3, 7, 9, 21, 63, 67, 201, 469, 603, 1407, 4221. There are 12 integers that are factors of 4221. The greatest factor of 4221 is 4221.

3. What are the Factors of 4227?

Answer: Factors of 4227 are 1, 3, 1409, 4227. There are 4 integers that are factors of 4227. The greatest factor of 4227 is 4227.

4. How to Find the GCF of 4221 and 4227?

Answer:

Greatest Common Factor of 4221 and 4227 = 3

Step 1: Find the prime factorization of 4221

4221 = 3 x 3 x 7 x 67

Step 2: Find the prime factorization of 4227

4227 = 3 x 1409

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

GCF = 3

Step 4: Therefore, the greatest common factor of 4221 and 4227 is 3