Greatest Common Factor of 1378 and 1381

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 1378, 1381 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1378 and 1381 is 1.

GCF(1378,1381) = 1

GCF of 1378 and 1381

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

GCF of:
and

Greatest Common Factor of 1378 and 1381

GCF of 1378 and 1381 is 1

Prime Factorization of 1378


2 1378
13 689
53 53
1

Prime factors of 1378 are 2,13,53. Prime factorization of 1378 in exponential form is:

1378 = 21×131×531

Prime Factorization of 1381


1381 1381
1

Prime factors of 1381 are 1381. Prime factorization of 1381 in exponential form is:

1381 = 13811

∴ So by taking common prime factors GCF of 1378 and 1381 is 1

Greatest Common Factor of 1378 and 1381 by matching factors method

Factors of 1378

List of positive integer factors of 1378 that divides 1378 without a remainder.

1,2,13,26,53,106,689,1378

Factors of 1381

List of positive integer factors of 1381 that divides 1381 without a remainder.

1,1381

Greatest Common Factor

We found the factors and prime factorization of 1378 and 1381. The biggest common factor number is the GCF number.
So the greatest common factor 1378 and 1381 is 1.

Also check out the Least Common Multiple of 1378 and 1381

Properties of GCF 1378 and 1381

(i) The GCF of 1378 and 1381 is associative

GCF of 1378 and 1381 = GCF of 1381 and 1378

Related Greatest Common Factor of 1378

Related Greatest Common Factor of 1381

Frequently Asked Questions on GCF of 1378 and 1381

1. What is the GCF of 1378 and 1381?

Answer: GCF of 1378 and 1381 is 1.

2. What are the Factors of 1378?

Answer: Factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378. There are 8 integers that are factors of 1378. The greatest factor of 1378 is 1378.

3. What are the Factors of 1381?

Answer: Factors of 1381 are 1, 1381. There are 2 integers that are factors of 1381. The greatest factor of 1381 is 1381.

4. How to Find the GCF of 1378 and 1381?

Answer:

Greatest Common Factor of 1378 and 1381 = 1

Step 1: Find the prime factorization of 1378

1378 = 2 x 13 x 53

Step 2: Find the prime factorization of 1381

1381 = 1381

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 1378 and 1381 is 1