Greatest Common Factor of 2368 and 2374

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 2368, 2374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2368 and 2374 is 2.

GCF(2368,2374) = 2

GCF of 2368 and 2374

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

GCF of:
and

Greatest Common Factor of 2368 and 2374

GCF of 2368 and 2374 is 2

Prime Factorization of 2368


2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 2368 are 2,37. Prime factorization of 2368 in exponential form is:

2368 = 26×371

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

∴ So by taking common prime factors GCF of 2368 and 2374 is 2

Greatest Common Factor of 2368 and 2374 by matching factors method

Factors of 2368

List of positive integer factors of 2368 that divides 2368 without a remainder.

1,2,4,8,16,32,37,64,74,148,296,592,1184,2368

Factors of 2374

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

1,2,1187,2374

Greatest Common Factor

We found the factors and prime factorization of 2368 and 2374. The biggest common factor number is the GCF number.
So the greatest common factor 2368 and 2374 is 2.

Also check out the Least Common Multiple of 2368 and 2374

Properties of GCF 2368 and 2374

(i) The GCF of 2368 and 2374 is associative

GCF of 2368 and 2374 = GCF of 2374 and 2368

Related Greatest Common Factor of 2368

Related Greatest Common Factor of 2374

Frequently Asked Questions on GCF of 2368 and 2374

1. What is the GCF of 2368 and 2374?

Answer: GCF of 2368 and 2374 is 2.

2. What are the Factors of 2368?

Answer: Factors of 2368 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 2368. There are 14 integers that are factors of 2368. The greatest factor of 2368 is 2368.

3. 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.

4. How to Find the GCF of 2368 and 2374?

Answer:

Greatest Common Factor of 2368 and 2374 = 2

Step 1: Find the prime factorization of 2368

2368 = 2 x 2 x 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 2374

2374 = 2 x 1187

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 2368 and 2374 is 2