Greatest Common Factor of 1378 and 1382

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, 1382 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1378 and 1382 is 2.

GCF(1378,1382) = 2

GCF of 1378 and 1382

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

GCF of:
and

Greatest Common Factor of 1378 and 1382

GCF of 1378 and 1382 is 2

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 1382


2 1382
691 691
1

Prime factors of 1382 are 2,691. Prime factorization of 1382 in exponential form is:

1382 = 21×6911

∴ So by taking common prime factors GCF of 1378 and 1382 is 2

Greatest Common Factor of 1378 and 1382 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 1382

List of positive integer factors of 1382 that divides 1382 without a remainder.

1,2,691,1382

Greatest Common Factor

We found the factors and prime factorization of 1378 and 1382. The biggest common factor number is the GCF number.
So the greatest common factor 1378 and 1382 is 2.

Also check out the Least Common Multiple of 1378 and 1382

Properties of GCF 1378 and 1382

(i) The GCF of 1378 and 1382 is associative

GCF of 1378 and 1382 = GCF of 1382 and 1378

Related Greatest Common Factor of 1378

Related Greatest Common Factor of 1382

Frequently Asked Questions on GCF of 1378 and 1382

1. What is the GCF of 1378 and 1382?

Answer: GCF of 1378 and 1382 is 2.

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 1382?

Answer: Factors of 1382 are 1, 2, 691, 1382. There are 4 integers that are factors of 1382. The greatest factor of 1382 is 1382.

4. How to Find the GCF of 1378 and 1382?

Answer:

Greatest Common Factor of 1378 and 1382 = 2

Step 1: Find the prime factorization of 1378

1378 = 2 x 13 x 53

Step 2: Find the prime factorization of 1382

1382 = 2 x 691

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1378 and 1382 is 2