Greatest Common Factor of 1378 and 1384

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, 1384 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1378 and 1384 is 2.

GCF(1378,1384) = 2

GCF of 1378 and 1384

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

GCF of:
and

Greatest Common Factor of 1378 and 1384

GCF of 1378 and 1384 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 1384


2 1384
2 692
2 346
173 173
1

Prime factors of 1384 are 2,173. Prime factorization of 1384 in exponential form is:

1384 = 23×1731

∴ So by taking common prime factors GCF of 1378 and 1384 is 2

Greatest Common Factor of 1378 and 1384 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 1384

List of positive integer factors of 1384 that divides 1384 without a remainder.

1,2,4,8,173,346,692,1384

Greatest Common Factor

We found the factors and prime factorization of 1378 and 1384. The biggest common factor number is the GCF number.
So the greatest common factor 1378 and 1384 is 2.

Also check out the Least Common Multiple of 1378 and 1384

Properties of GCF 1378 and 1384

(i) The GCF of 1378 and 1384 is associative

GCF of 1378 and 1384 = GCF of 1384 and 1378

Related Greatest Common Factor of 1378

Related Greatest Common Factor of 1384

Frequently Asked Questions on GCF of 1378 and 1384

1. What is the GCF of 1378 and 1384?

Answer: GCF of 1378 and 1384 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 1384?

Answer: Factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384. There are 8 integers that are factors of 1384. The greatest factor of 1384 is 1384.

4. How to Find the GCF of 1378 and 1384?

Answer:

Greatest Common Factor of 1378 and 1384 = 2

Step 1: Find the prime factorization of 1378

1378 = 2 x 13 x 53

Step 2: Find the prime factorization of 1384

1384 = 2 x 2 x 2 x 173

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 1384 is 2