Greatest Common Factor of 380 and 381

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

Greatest common factor (GCF) of 380 and 381 is 1.

GCF(380,381) = 1

GCF of 380 and 381

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

GCF of:
and

Greatest Common Factor of 380 and 381

GCF of 380 and 381 is 1

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 381


3 381
127 127
1

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

381 = 31×1271

∴ So by taking common prime factors GCF of 380 and 381 is 1

Greatest Common Factor of 380 and 381 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 381

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

1,3,127,381

Greatest Common Factor

We found the factors and prime factorization of 380 and 381. The biggest common factor number is the GCF number.
So the greatest common factor 380 and 381 is 1.

Also check out the Least Common Multiple of 380 and 381

Properties of GCF 380 and 381

(i) The GCF of 380 and 381 is associative

GCF of 380 and 381 = GCF of 381 and 380

Related Greatest Common Factor of 380

Related Greatest Common Factor of 381

Frequently Asked Questions on GCF of 380 and 381

1. What is the GCF of 380 and 381?

Answer: GCF of 380 and 381 is 1.

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 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.

4. How to Find the GCF of 380 and 381?

Answer:

Greatest Common Factor of 380 and 381 = 1

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 381

381 = 3 x 127

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 380 and 381 is 1