Greatest Common Factor of 380 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 380, 388 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 380 and 388 is 4.

GCF(380,388) = 4

GCF of 380 and 388

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

GCF of:
and

Greatest Common Factor of 380 and 388

GCF of 380 and 388 is 4

Prime Factorization of 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2,5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

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 380 and 388 is 4

Greatest Common Factor of 380 and 388 by matching factors method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

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 380 and 388. The biggest common factor number is the GCF number.
So the greatest common factor 380 and 388 is 4.

Also check out the Least Common Multiple of 380 and 388

Properties of GCF 380 and 388

(i) The GCF of 380 and 388 is associative

GCF of 380 and 388 = GCF of 388 and 380

Related Greatest Common Factor of 380

Related Greatest Common Factor of 388

Frequently Asked Questions on GCF of 380 and 388

1. What is the GCF of 380 and 388?

Answer: GCF of 380 and 388 is 4.

2. What are the Factors of 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

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 380 and 388?

Answer:

Greatest Common Factor of 380 and 388 = 4

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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 380 and 388 is 4