Greatest Common Factor of 384 and 388

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 384, 388 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 384 and 388 is 4.

GCF(384,388) = 4

GCF of 384 and 388

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

GCF of:
and

Greatest Common Factor of 384 and 388

GCF of 384 and 388 is 4

Prime Factorization of 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

Prime Factorization of 388


2 388
2 194
97 97
1

Prime factors of 388 are 2,97. Prime factorization of 388 in exponential form is:

388 = 22×971

∴ So by taking common prime factors GCF of 384 and 388 is 4

Greatest Common Factor of 384 and 388 by matching factors method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors and prime factorization of 384 and 388. The biggest common factor number is the GCF number.
So the greatest common factor 384 and 388 is 4.

Also check out the Least Common Multiple of 384 and 388

Properties of GCF 384 and 388

(i) The GCF of 384 and 388 is associative

GCF of 384 and 388 = GCF of 388 and 384

Related Greatest Common Factor of 384

Related Greatest Common Factor of 388

Frequently Asked Questions on GCF of 384 and 388

1. What is the GCF of 384 and 388?

Answer: GCF of 384 and 388 is 4.

2. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

3. What are the Factors of 388?

Answer: Factors of 388 are 1, 2, 4, 97, 194, 388. There are 6 integers that are factors of 388. The greatest factor of 388 is 388.

4. How to Find the GCF of 384 and 388?

Answer:

Greatest Common Factor of 384 and 388 = 4

Step 1: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 388

388 = 2 x 2 x 97

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 384 and 388 is 4