Greatest Common Factor of 8384 and 8388

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 8384, 8388 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8384 and 8388 is 4.

GCF(8384,8388) = 4

GCF of 8384 and 8388

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

GCF of:
and

Greatest Common Factor of 8384 and 8388

GCF of 8384 and 8388 is 4

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

Prime Factorization of 8388


2 8388
2 4194
3 2097
3 699
233 233
1

Prime factors of 8388 are 2,3,233. Prime factorization of 8388 in exponential form is:

8388 = 22×32×2331

∴ So by taking common prime factors GCF of 8384 and 8388 is 4

Greatest Common Factor of 8384 and 8388 by matching factors method

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388

Greatest Common Factor

We found the factors and prime factorization of 8384 and 8388. The biggest common factor number is the GCF number.
So the greatest common factor 8384 and 8388 is 4.

Also check out the Least Common Multiple of 8384 and 8388

Properties of GCF 8384 and 8388

(i) The GCF of 8384 and 8388 is associative

GCF of 8384 and 8388 = GCF of 8388 and 8384

Related Greatest Common Factor of 8384

Related Greatest Common Factor of 8388

Frequently Asked Questions on GCF of 8384 and 8388

1. What is the GCF of 8384 and 8388?

Answer: GCF of 8384 and 8388 is 4.

2. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

3. What are the Factors of 8388?

Answer: Factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388. There are 18 integers that are factors of 8388. The greatest factor of 8388 is 8388.

4. How to Find the GCF of 8384 and 8388?

Answer:

Greatest Common Factor of 8384 and 8388 = 4

Step 1: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

Step 2: Find the prime factorization of 8388

8388 = 2 x 2 x 3 x 3 x 233

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 8384 and 8388 is 4