Greatest Common Factor of 4221 and 4229

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, 4229 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4221 and 4229 is 1.

GCF(4221,4229) = 1

GCF of 4221 and 4229

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

GCF of:
and

Greatest Common Factor of 4221 and 4229

GCF of 4221 and 4229 is 1

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 4229


4229 4229
1

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 42291

∴ So by taking common prime factors GCF of 4221 and 4229 is 1

Greatest Common Factor of 4221 and 4229 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 4229

List of positive integer factors of 4229 that divides 4229 without a remainder.

1,4229

Greatest Common Factor

We found the factors and prime factorization of 4221 and 4229. The biggest common factor number is the GCF number.
So the greatest common factor 4221 and 4229 is 1.

Also check out the Least Common Multiple of 4221 and 4229

Properties of GCF 4221 and 4229

(i) The GCF of 4221 and 4229 is associative

GCF of 4221 and 4229 = GCF of 4229 and 4221

Related Greatest Common Factor of 4221

Related Greatest Common Factor of 4229

Frequently Asked Questions on GCF of 4221 and 4229

1. What is the GCF of 4221 and 4229?

Answer: GCF of 4221 and 4229 is 1.

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 4229?

Answer: Factors of 4229 are 1, 4229. There are 2 integers that are factors of 4229. The greatest factor of 4229 is 4229.

4. How to Find the GCF of 4221 and 4229?

Answer:

Greatest Common Factor of 4221 and 4229 = 1

Step 1: Find the prime factorization of 4221

4221 = 3 x 3 x 7 x 67

Step 2: Find the prime factorization of 4229

4229 = 4229

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 4221 and 4229 is 1