Greatest Common Factor of 8228 and 8232

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 8228, 8232 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8228 and 8232 is 4.

GCF(8228,8232) = 4

GCF of 8228 and 8232

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

GCF of:
and

Greatest Common Factor of 8228 and 8232

GCF of 8228 and 8232 is 4

Prime Factorization of 8228


2 8228
2 4114
11 2057
11 187
17 17
1

Prime factors of 8228 are 2,11,17. Prime factorization of 8228 in exponential form is:

8228 = 22×112×171

Prime Factorization of 8232


2 8232
2 4116
2 2058
3 1029
7 343
7 49
7 7
1

Prime factors of 8232 are 2,3,7. Prime factorization of 8232 in exponential form is:

8232 = 23×31×73

∴ So by taking common prime factors GCF of 8228 and 8232 is 4

Greatest Common Factor of 8228 and 8232 by matching factors method

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Factors of 8232

List of positive integer factors of 8232 that divides 8232 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232

Greatest Common Factor

We found the factors and prime factorization of 8228 and 8232. The biggest common factor number is the GCF number.
So the greatest common factor 8228 and 8232 is 4.

Also check out the Least Common Multiple of 8228 and 8232

Properties of GCF 8228 and 8232

(i) The GCF of 8228 and 8232 is associative

GCF of 8228 and 8232 = GCF of 8232 and 8228

Related Greatest Common Factor of 8228

Related Greatest Common Factor of 8232

Frequently Asked Questions on GCF of 8228 and 8232

1. What is the GCF of 8228 and 8232?

Answer: GCF of 8228 and 8232 is 4.

2. What are the Factors of 8228?

Answer: Factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228. There are 18 integers that are factors of 8228. The greatest factor of 8228 is 8228.

3. What are the Factors of 8232?

Answer: Factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232. There are 32 integers that are factors of 8232. The greatest factor of 8232 is 8232.

4. How to Find the GCF of 8228 and 8232?

Answer:

Greatest Common Factor of 8228 and 8232 = 4

Step 1: Find the prime factorization of 8228

8228 = 2 x 2 x 11 x 11 x 17

Step 2: Find the prime factorization of 8232

8232 = 2 x 2 x 2 x 3 x 7 x 7 x 7

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8228 and 8232 is 4