Greatest Common Factor of 4214 and 4222

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, 4222 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4214 and 4222 is 2.

GCF(4214,4222) = 2

GCF of 4214 and 4222

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

GCF of:
and

Greatest Common Factor of 4214 and 4222

GCF of 4214 and 4222 is 2

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 4222


2 4222
2111 2111
1

Prime factors of 4222 are 2,2111. Prime factorization of 4222 in exponential form is:

4222 = 21×21111

∴ So by taking common prime factors GCF of 4214 and 4222 is 2

Greatest Common Factor of 4214 and 4222 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 4222

List of positive integer factors of 4222 that divides 4222 without a remainder.

1,2,2111,4222

Greatest Common Factor

We found the factors and prime factorization of 4214 and 4222. The biggest common factor number is the GCF number.
So the greatest common factor 4214 and 4222 is 2.

Also check out the Least Common Multiple of 4214 and 4222

Properties of GCF 4214 and 4222

(i) The GCF of 4214 and 4222 is associative

GCF of 4214 and 4222 = GCF of 4222 and 4214

Related Greatest Common Factor of 4214

Related Greatest Common Factor of 4222

Frequently Asked Questions on GCF of 4214 and 4222

1. What is the GCF of 4214 and 4222?

Answer: GCF of 4214 and 4222 is 2.

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 4222?

Answer: Factors of 4222 are 1, 2, 2111, 4222. There are 4 integers that are factors of 4222. The greatest factor of 4222 is 4222.

4. How to Find the GCF of 4214 and 4222?

Answer:

Greatest Common Factor of 4214 and 4222 = 2

Step 1: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 4222

4222 = 2 x 2111

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4214 and 4222 is 2