Greatest Common Factor of 2374 and 2378

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 2374, 2378 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2374 and 2378 is 2.

GCF(2374,2378) = 2

GCF of 2374 and 2378

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

GCF of:
and

Greatest Common Factor of 2374 and 2378

GCF of 2374 and 2378 is 2

Prime Factorization of 2374


2 2374
1187 1187
1

Prime factors of 2374 are 2,1187. Prime factorization of 2374 in exponential form is:

2374 = 21×11871

Prime Factorization of 2378


2 2378
29 1189
41 41
1

Prime factors of 2378 are 2,29,41. Prime factorization of 2378 in exponential form is:

2378 = 21×291×411

∴ So by taking common prime factors GCF of 2374 and 2378 is 2

Greatest Common Factor of 2374 and 2378 by matching factors method

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1,2,1187,2374

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1,2,29,41,58,82,1189,2378

Greatest Common Factor

We found the factors and prime factorization of 2374 and 2378. The biggest common factor number is the GCF number.
So the greatest common factor 2374 and 2378 is 2.

Also check out the Least Common Multiple of 2374 and 2378

Properties of GCF 2374 and 2378

(i) The GCF of 2374 and 2378 is associative

GCF of 2374 and 2378 = GCF of 2378 and 2374

Related Greatest Common Factor of 2374

Related Greatest Common Factor of 2378

Frequently Asked Questions on GCF of 2374 and 2378

1. What is the GCF of 2374 and 2378?

Answer: GCF of 2374 and 2378 is 2.

2. What are the Factors of 2374?

Answer: Factors of 2374 are 1, 2, 1187, 2374. There are 4 integers that are factors of 2374. The greatest factor of 2374 is 2374.

3. What are the Factors of 2378?

Answer: Factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378. There are 8 integers that are factors of 2378. The greatest factor of 2378 is 2378.

4. How to Find the GCF of 2374 and 2378?

Answer:

Greatest Common Factor of 2374 and 2378 = 2

Step 1: Find the prime factorization of 2374

2374 = 2 x 1187

Step 2: Find the prime factorization of 2378

2378 = 2 x 29 x 41

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 2374 and 2378 is 2