Greatest Common Factor of 388 and 391

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 388, 391 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 388 and 391 is 1.

GCF(388,391) = 1

GCF of 388 and 391

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

GCF of:
and

Greatest Common Factor of 388 and 391

GCF of 388 and 391 is 1

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

Prime Factorization of 391


17 391
23 23
1

Prime factors of 391 are 17,23. Prime factorization of 391 in exponential form is:

391 = 171×231

∴ So by taking common prime factors GCF of 388 and 391 is 1

Greatest Common Factor of 388 and 391 by matching factors method

Factors of 388

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

1,2,4,97,194,388

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors and prime factorization of 388 and 391. The biggest common factor number is the GCF number.
So the greatest common factor 388 and 391 is 1.

Also check out the Least Common Multiple of 388 and 391

Properties of GCF 388 and 391

(i) The GCF of 388 and 391 is associative

GCF of 388 and 391 = GCF of 391 and 388

Related Greatest Common Factor of 388

Related Greatest Common Factor of 391

Frequently Asked Questions on GCF of 388 and 391

1. What is the GCF of 388 and 391?

Answer: GCF of 388 and 391 is 1.

2. 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.

3. What are the Factors of 391?

Answer: Factors of 391 are 1, 17, 23, 391. There are 4 integers that are factors of 391. The greatest factor of 391 is 391.

4. How to Find the GCF of 388 and 391?

Answer:

Greatest Common Factor of 388 and 391 = 1

Step 1: Find the prime factorization of 388

388 = 2 x 2 x 97

Step 2: Find the prime factorization of 391

391 = 17 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 388 and 391 is 1