Greatest Common Factor of 1374 and 1378

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 1374, 1378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1374 and 1378 is 2.

GCF(1374,1378) = 2

GCF of 1374 and 1378

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

GCF of:
and

Greatest Common Factor of 1374 and 1378

GCF of 1374 and 1378 is 2

Prime Factorization of 1374


2 1374
3 687
229 229
1

Prime factors of 1374 are 2,3,229. Prime factorization of 1374 in exponential form is:

1374 = 21×31×2291

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

∴ So by taking common prime factors GCF of 1374 and 1378 is 2

Greatest Common Factor of 1374 and 1378 by matching factors method

Factors of 1374

List of positive integer factors of 1374 that divides 1374 without a remainder.

1,2,3,6,229,458,687,1374

Factors of 1378

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

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

Greatest Common Factor

We found the factors and prime factorization of 1374 and 1378. The biggest common factor number is the GCF number.
So the greatest common factor 1374 and 1378 is 2.

Also check out the Least Common Multiple of 1374 and 1378

Properties of GCF 1374 and 1378

(i) The GCF of 1374 and 1378 is associative

GCF of 1374 and 1378 = GCF of 1378 and 1374

Related Greatest Common Factor of 1374

Related Greatest Common Factor of 1378

Frequently Asked Questions on GCF of 1374 and 1378

1. What is the GCF of 1374 and 1378?

Answer: GCF of 1374 and 1378 is 2.

2. What are the Factors of 1374?

Answer: Factors of 1374 are 1, 2, 3, 6, 229, 458, 687, 1374. There are 8 integers that are factors of 1374. The greatest factor of 1374 is 1374.

3. 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.

4. How to Find the GCF of 1374 and 1378?

Answer:

Greatest Common Factor of 1374 and 1378 = 2

Step 1: Find the prime factorization of 1374

1374 = 2 x 3 x 229

Step 2: Find the prime factorization of 1378

1378 = 2 x 13 x 53

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 1374 and 1378 is 2