Greatest Common Factor of 6218 and 6224

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 6218, 6224 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6218 and 6224 is 2.

GCF(6218,6224) = 2

GCF of 6218 and 6224

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

GCF of:
and

Greatest Common Factor of 6218 and 6224

GCF of 6218 and 6224 is 2

Prime Factorization of 6218


2 6218
3109 3109
1

Prime factors of 6218 are 2,3109. Prime factorization of 6218 in exponential form is:

6218 = 21×31091

Prime Factorization of 6224


2 6224
2 3112
2 1556
2 778
389 389
1

Prime factors of 6224 are 2,389. Prime factorization of 6224 in exponential form is:

6224 = 24×3891

∴ So by taking common prime factors GCF of 6218 and 6224 is 2

Greatest Common Factor of 6218 and 6224 by matching factors method

Factors of 6218

List of positive integer factors of 6218 that divides 6218 without a remainder.

1,2,3109,6218

Factors of 6224

List of positive integer factors of 6224 that divides 6224 without a remainder.

1,2,4,8,16,389,778,1556,3112,6224

Greatest Common Factor

We found the factors and prime factorization of 6218 and 6224. The biggest common factor number is the GCF number.
So the greatest common factor 6218 and 6224 is 2.

Also check out the Least Common Multiple of 6218 and 6224

Properties of GCF 6218 and 6224

(i) The GCF of 6218 and 6224 is associative

GCF of 6218 and 6224 = GCF of 6224 and 6218

Related Greatest Common Factor of 6218

Related Greatest Common Factor of 6224

Frequently Asked Questions on GCF of 6218 and 6224

1. What is the GCF of 6218 and 6224?

Answer: GCF of 6218 and 6224 is 2.

2. What are the Factors of 6218?

Answer: Factors of 6218 are 1, 2, 3109, 6218. There are 4 integers that are factors of 6218. The greatest factor of 6218 is 6218.

3. What are the Factors of 6224?

Answer: Factors of 6224 are 1, 2, 4, 8, 16, 389, 778, 1556, 3112, 6224. There are 10 integers that are factors of 6224. The greatest factor of 6224 is 6224.

4. How to Find the GCF of 6218 and 6224?

Answer:

Greatest Common Factor of 6218 and 6224 = 2

Step 1: Find the prime factorization of 6218

6218 = 2 x 3109

Step 2: Find the prime factorization of 6224

6224 = 2 x 2 x 2 x 2 x 389

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 6218 and 6224 is 2