Greatest Common Factor of 8228 and 8236

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, 8236 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8228 and 8236 is 4.

GCF(8228,8236) = 4

GCF of 8228 and 8236

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

GCF of:
and

Greatest Common Factor of 8228 and 8236

GCF of 8228 and 8236 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 8236


2 8236
2 4118
29 2059
71 71
1

Prime factors of 8236 are 2,29,71. Prime factorization of 8236 in exponential form is:

8236 = 22×291×711

∴ So by taking common prime factors GCF of 8228 and 8236 is 4

Greatest Common Factor of 8228 and 8236 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 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1,2,4,29,58,71,116,142,284,2059,4118,8236

Greatest Common Factor

We found the factors and prime factorization of 8228 and 8236. The biggest common factor number is the GCF number.
So the greatest common factor 8228 and 8236 is 4.

Also check out the Least Common Multiple of 8228 and 8236

Properties of GCF 8228 and 8236

(i) The GCF of 8228 and 8236 is associative

GCF of 8228 and 8236 = GCF of 8236 and 8228

Related Greatest Common Factor of 8228

Related Greatest Common Factor of 8236

Frequently Asked Questions on GCF of 8228 and 8236

1. What is the GCF of 8228 and 8236?

Answer: GCF of 8228 and 8236 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 8236?

Answer: Factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236. There are 12 integers that are factors of 8236. The greatest factor of 8236 is 8236.

4. How to Find the GCF of 8228 and 8236?

Answer:

Greatest Common Factor of 8228 and 8236 = 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 8236

8236 = 2 x 2 x 29 x 71

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 8236 is 4