Greatest Common Factor of 8214 and 8220

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 8214, 8220 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8214 and 8220 is 6.

GCF(8214,8220) = 6

GCF of 8214 and 8220

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

GCF of:
and

Greatest Common Factor of 8214 and 8220

GCF of 8214 and 8220 is 6

Prime Factorization of 8214


2 8214
3 4107
37 1369
37 37
1

Prime factors of 8214 are 2,3,37. Prime factorization of 8214 in exponential form is:

8214 = 21×31×372

Prime Factorization of 8220


2 8220
2 4110
3 2055
5 685
137 137
1

Prime factors of 8220 are 2,3,5,137. Prime factorization of 8220 in exponential form is:

8220 = 22×31×51×1371

∴ So by taking common prime factors GCF of 8214 and 8220 is 6

Greatest Common Factor of 8214 and 8220 by matching factors method

Factors of 8214

List of positive integer factors of 8214 that divides 8214 without a remainder.

1,2,3,6,37,74,111,222,1369,2738,4107,8214

Factors of 8220

List of positive integer factors of 8220 that divides 8220 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,137,274,411,548,685,822,1370,1644,2055,2740,4110,8220

Greatest Common Factor

We found the factors and prime factorization of 8214 and 8220. The biggest common factor number is the GCF number.
So the greatest common factor 8214 and 8220 is 6.

Also check out the Least Common Multiple of 8214 and 8220

Properties of GCF 8214 and 8220

(i) The GCF of 8214 and 8220 is associative

GCF of 8214 and 8220 = GCF of 8220 and 8214

Related Greatest Common Factor of 8214

Related Greatest Common Factor of 8220

Frequently Asked Questions on GCF of 8214 and 8220

1. What is the GCF of 8214 and 8220?

Answer: GCF of 8214 and 8220 is 6.

2. What are the Factors of 8214?

Answer: Factors of 8214 are 1, 2, 3, 6, 37, 74, 111, 222, 1369, 2738, 4107, 8214. There are 12 integers that are factors of 8214. The greatest factor of 8214 is 8214.

3. What are the Factors of 8220?

Answer: Factors of 8220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 137, 274, 411, 548, 685, 822, 1370, 1644, 2055, 2740, 4110, 8220. There are 24 integers that are factors of 8220. The greatest factor of 8220 is 8220.

4. How to Find the GCF of 8214 and 8220?

Answer:

Greatest Common Factor of 8214 and 8220 = 6

Step 1: Find the prime factorization of 8214

8214 = 2 x 3 x 37 x 37

Step 2: Find the prime factorization of 8220

8220 = 2 x 2 x 3 x 5 x 137

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8214 and 8220 is 6