Greatest Common Factor of 4214 and 4221

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 4214, 4221 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4214 and 4221 is 7.

GCF(4214,4221) = 7

GCF of 4214 and 4221

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

GCF of:
and

Greatest Common Factor of 4214 and 4221

GCF of 4214 and 4221 is 7

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

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

∴ So by taking common prime factors GCF of 4214 and 4221 is 7

Greatest Common Factor of 4214 and 4221 by matching factors method

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

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

Greatest Common Factor

We found the factors and prime factorization of 4214 and 4221. The biggest common factor number is the GCF number.
So the greatest common factor 4214 and 4221 is 7.

Also check out the Least Common Multiple of 4214 and 4221

Properties of GCF 4214 and 4221

(i) The GCF of 4214 and 4221 is associative

GCF of 4214 and 4221 = GCF of 4221 and 4214

Related Greatest Common Factor of 4214

Related Greatest Common Factor of 4221

Frequently Asked Questions on GCF of 4214 and 4221

1. What is the GCF of 4214 and 4221?

Answer: GCF of 4214 and 4221 is 7.

2. 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.

3. 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.

4. How to Find the GCF of 4214 and 4221?

Answer:

Greatest Common Factor of 4214 and 4221 = 7

Step 1: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 4221

4221 = 3 x 3 x 7 x 67

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4214 and 4221 is 7