Greatest Common Factor of 376 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 376, 381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 376 and 381 is 1.

GCF(376,381) = 1

GCF of 376 and 381

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

GCF of:
and

Greatest Common Factor of 376 and 381

GCF of 376 and 381 is 1

Prime Factorization of 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

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 376 and 381 is 1

Greatest Common Factor of 376 and 381 by matching factors method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

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 376 and 381. The biggest common factor number is the GCF number.
So the greatest common factor 376 and 381 is 1.

Also check out the Least Common Multiple of 376 and 381

Properties of GCF 376 and 381

(i) The GCF of 376 and 381 is associative

GCF of 376 and 381 = GCF of 381 and 376

Related Greatest Common Factor of 376

Related Greatest Common Factor of 381

Frequently Asked Questions on GCF of 376 and 381

1. What is the GCF of 376 and 381?

Answer: GCF of 376 and 381 is 1.

2. What are the Factors of 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

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 376 and 381?

Answer:

Greatest Common Factor of 376 and 381 = 1

Step 1: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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 376 and 381 is 1