Greatest Common Factor of 2362 and 2368

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 2362, 2368 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2362 and 2368 is 2.

GCF(2362,2368) = 2

GCF of 2362 and 2368

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

GCF of:
and

Greatest Common Factor of 2362 and 2368

GCF of 2362 and 2368 is 2

Prime Factorization of 2362


2 2362
1181 1181
1

Prime factors of 2362 are 2,1181. Prime factorization of 2362 in exponential form is:

2362 = 21×11811

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

∴ So by taking common prime factors GCF of 2362 and 2368 is 2

Greatest Common Factor of 2362 and 2368 by matching factors method

Factors of 2362

List of positive integer factors of 2362 that divides 2362 without a remainder.

1,2,1181,2362

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

Greatest Common Factor

We found the factors and prime factorization of 2362 and 2368. The biggest common factor number is the GCF number.
So the greatest common factor 2362 and 2368 is 2.

Also check out the Least Common Multiple of 2362 and 2368

Properties of GCF 2362 and 2368

(i) The GCF of 2362 and 2368 is associative

GCF of 2362 and 2368 = GCF of 2368 and 2362

Related Greatest Common Factor of 2362

Related Greatest Common Factor of 2368

Frequently Asked Questions on GCF of 2362 and 2368

1. What is the GCF of 2362 and 2368?

Answer: GCF of 2362 and 2368 is 2.

2. What are the Factors of 2362?

Answer: Factors of 2362 are 1, 2, 1181, 2362. There are 4 integers that are factors of 2362. The greatest factor of 2362 is 2362.

3. 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.

4. How to Find the GCF of 2362 and 2368?

Answer:

Greatest Common Factor of 2362 and 2368 = 2

Step 1: Find the prime factorization of 2362

2362 = 2 x 1181

Step 2: Find the prime factorization of 2368

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

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 2362 and 2368 is 2