Greatest Common Factor of 381 and 387

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 381, 387 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 381 and 387 is 3.

GCF(381,387) = 3

GCF of 381 and 387

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

GCF of:
and

Greatest Common Factor of 381 and 387

GCF of 381 and 387 is 3

Prime Factorization of 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

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

∴ So by taking common prime factors GCF of 381 and 387 is 3

Greatest Common Factor of 381 and 387 by matching factors method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 387

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

1,3,9,43,129,387

Greatest Common Factor

We found the factors and prime factorization of 381 and 387. The biggest common factor number is the GCF number.
So the greatest common factor 381 and 387 is 3.

Also check out the Least Common Multiple of 381 and 387

Properties of GCF 381 and 387

(i) The GCF of 381 and 387 is associative

GCF of 381 and 387 = GCF of 387 and 381

Related Greatest Common Factor of 381

Related Greatest Common Factor of 387

Frequently Asked Questions on GCF of 381 and 387

1. What is the GCF of 381 and 387?

Answer: GCF of 381 and 387 is 3.

2. What are the Factors of 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

3. 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.

4. How to Find the GCF of 381 and 387?

Answer:

Greatest Common Factor of 381 and 387 = 3

Step 1: Find the prime factorization of 381

381 = 3 x 127

Step 2: Find the prime factorization of 387

387 = 3 x 3 x 43

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

GCF = 3

Step 4: Therefore, the greatest common factor of 381 and 387 is 3