Greatest Common Factor of 8220 and 8223

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 8220, 8223 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8220 and 8223 is 3.

GCF(8220,8223) = 3

GCF of 8220 and 8223

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

GCF of:
and

Greatest Common Factor of 8220 and 8223

GCF of 8220 and 8223 is 3

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

Prime Factorization of 8223


3 8223
2741 2741
1

Prime factors of 8223 are 3,2741. Prime factorization of 8223 in exponential form is:

8223 = 31×27411

∴ So by taking common prime factors GCF of 8220 and 8223 is 3

Greatest Common Factor of 8220 and 8223 by matching factors method

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

Factors of 8223

List of positive integer factors of 8223 that divides 8223 without a remainder.

1,3,2741,8223

Greatest Common Factor

We found the factors and prime factorization of 8220 and 8223. The biggest common factor number is the GCF number.
So the greatest common factor 8220 and 8223 is 3.

Also check out the Least Common Multiple of 8220 and 8223

Properties of GCF 8220 and 8223

(i) The GCF of 8220 and 8223 is associative

GCF of 8220 and 8223 = GCF of 8223 and 8220

Related Greatest Common Factor of 8220

Related Greatest Common Factor of 8223

Frequently Asked Questions on GCF of 8220 and 8223

1. What is the GCF of 8220 and 8223?

Answer: GCF of 8220 and 8223 is 3.

2. 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.

3. What are the Factors of 8223?

Answer: Factors of 8223 are 1, 3, 2741, 8223. There are 4 integers that are factors of 8223. The greatest factor of 8223 is 8223.

4. How to Find the GCF of 8220 and 8223?

Answer:

Greatest Common Factor of 8220 and 8223 = 3

Step 1: Find the prime factorization of 8220

8220 = 2 x 2 x 3 x 5 x 137

Step 2: Find the prime factorization of 8223

8223 = 3 x 2741

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8220 and 8223 is 3