Greatest Common Factor of 4214 and 4220

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, 4220 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4214 and 4220 is 2.

GCF(4214,4220) = 2

GCF of 4214 and 4220

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

GCF of:
and

Greatest Common Factor of 4214 and 4220

GCF of 4214 and 4220 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 4220


2 4220
2 2110
5 1055
211 211
1

Prime factors of 4220 are 2,5,211. Prime factorization of 4220 in exponential form is:

4220 = 22×51×2111

∴ So by taking common prime factors GCF of 4214 and 4220 is 2

Greatest Common Factor of 4214 and 4220 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 4220

List of positive integer factors of 4220 that divides 4220 without a remainder.

1,2,4,5,10,20,211,422,844,1055,2110,4220

Greatest Common Factor

We found the factors and prime factorization of 4214 and 4220. The biggest common factor number is the GCF number.
So the greatest common factor 4214 and 4220 is 2.

Also check out the Least Common Multiple of 4214 and 4220

Properties of GCF 4214 and 4220

(i) The GCF of 4214 and 4220 is associative

GCF of 4214 and 4220 = GCF of 4220 and 4214

Related Greatest Common Factor of 4214

Related Greatest Common Factor of 4220

Frequently Asked Questions on GCF of 4214 and 4220

1. What is the GCF of 4214 and 4220?

Answer: GCF of 4214 and 4220 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 4220?

Answer: Factors of 4220 are 1, 2, 4, 5, 10, 20, 211, 422, 844, 1055, 2110, 4220. There are 12 integers that are factors of 4220. The greatest factor of 4220 is 4220.

4. How to Find the GCF of 4214 and 4220?

Answer:

Greatest Common Factor of 4214 and 4220 = 2

Step 1: Find the prime factorization of 4214

4214 = 2 x 7 x 7 x 43

Step 2: Find the prime factorization of 4220

4220 = 2 x 2 x 5 x 211

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 4220 is 2