Greatest Common Factor of 387 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 387, 388 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 387 and 388 is 1.

GCF(387,388) = 1

GCF of 387 and 388

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

GCF of:
and

Greatest Common Factor of 387 and 388

GCF of 387 and 388 is 1

Prime Factorization of 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

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 387 and 388 is 1

Greatest Common Factor of 387 and 388 by matching factors method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

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 387 and 388. The biggest common factor number is the GCF number.
So the greatest common factor 387 and 388 is 1.

Also check out the Least Common Multiple of 387 and 388

Properties of GCF 387 and 388

(i) The GCF of 387 and 388 is associative

GCF of 387 and 388 = GCF of 388 and 387

Related Greatest Common Factor of 387

Related Greatest Common Factor of 388

Frequently Asked Questions on GCF of 387 and 388

1. What is the GCF of 387 and 388?

Answer: GCF of 387 and 388 is 1.

2. What are the Factors of 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

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 387 and 388?

Answer:

Greatest Common Factor of 387 and 388 = 1

Step 1: Find the prime factorization of 387

387 = 3 x 3 x 43

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 = = 1

Step 4: Therefore, the greatest common factor of 387 and 388 is 1