Greatest Common Factor of 2438 and 2442

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 2438, 2442 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2438 and 2442 is 2.

GCF(2438,2442) = 2

GCF of 2438 and 2442

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

GCF of:
and

Greatest Common Factor of 2438 and 2442

GCF of 2438 and 2442 is 2

Prime Factorization of 2438


2 2438
23 1219
53 53
1

Prime factors of 2438 are 2,23,53. Prime factorization of 2438 in exponential form is:

2438 = 21×231×531

Prime Factorization of 2442


2 2442
3 1221
11 407
37 37
1

Prime factors of 2442 are 2,3,11,37. Prime factorization of 2442 in exponential form is:

2442 = 21×31×111×371

∴ So by taking common prime factors GCF of 2438 and 2442 is 2

Greatest Common Factor of 2438 and 2442 by matching factors method

Factors of 2438

List of positive integer factors of 2438 that divides 2438 without a remainder.

1,2,23,46,53,106,1219,2438

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors and prime factorization of 2438 and 2442. The biggest common factor number is the GCF number.
So the greatest common factor 2438 and 2442 is 2.

Also check out the Least Common Multiple of 2438 and 2442

Properties of GCF 2438 and 2442

(i) The GCF of 2438 and 2442 is associative

GCF of 2438 and 2442 = GCF of 2442 and 2438

Related Greatest Common Factor of 2438

Related Greatest Common Factor of 2442

Frequently Asked Questions on GCF of 2438 and 2442

1. What is the GCF of 2438 and 2442?

Answer: GCF of 2438 and 2442 is 2.

2. What are the Factors of 2438?

Answer: Factors of 2438 are 1, 2, 23, 46, 53, 106, 1219, 2438. There are 8 integers that are factors of 2438. The greatest factor of 2438 is 2438.

3. What are the Factors of 2442?

Answer: Factors of 2442 are 1, 2, 3, 6, 11, 22, 33, 37, 66, 74, 111, 222, 407, 814, 1221, 2442. There are 16 integers that are factors of 2442. The greatest factor of 2442 is 2442.

4. How to Find the GCF of 2438 and 2442?

Answer:

Greatest Common Factor of 2438 and 2442 = 2

Step 1: Find the prime factorization of 2438

2438 = 2 x 23 x 53

Step 2: Find the prime factorization of 2442

2442 = 2 x 3 x 11 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 2438 and 2442 is 2