Greatest Common Factor of 2442 and 2448

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 2442, 2448 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2442 and 2448 is 6.

GCF(2442,2448) = 6

GCF of 2442 and 2448

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

GCF of:
and

Greatest Common Factor of 2442 and 2448

GCF of 2442 and 2448 is 6

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

Prime Factorization of 2448


2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 2448 are 2,3,17. Prime factorization of 2448 in exponential form is:

2448 = 24×32×171

∴ So by taking common prime factors GCF of 2442 and 2448 is 6

Greatest Common Factor of 2442 and 2448 by matching factors method

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

Factors of 2448

List of positive integer factors of 2448 that divides 2448 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,34,36,48,51,68,72,102,136,144,153,204,272,306,408,612,816,1224,2448

Greatest Common Factor

We found the factors and prime factorization of 2442 and 2448. The biggest common factor number is the GCF number.
So the greatest common factor 2442 and 2448 is 6.

Also check out the Least Common Multiple of 2442 and 2448

Properties of GCF 2442 and 2448

(i) The GCF of 2442 and 2448 is associative

GCF of 2442 and 2448 = GCF of 2448 and 2442

Related Greatest Common Factor of 2442

Related Greatest Common Factor of 2448

Frequently Asked Questions on GCF of 2442 and 2448

1. What is the GCF of 2442 and 2448?

Answer: GCF of 2442 and 2448 is 6.

2. 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.

3. What are the Factors of 2448?

Answer: Factors of 2448 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 34, 36, 48, 51, 68, 72, 102, 136, 144, 153, 204, 272, 306, 408, 612, 816, 1224, 2448. There are 30 integers that are factors of 2448. The greatest factor of 2448 is 2448.

4. How to Find the GCF of 2442 and 2448?

Answer:

Greatest Common Factor of 2442 and 2448 = 6

Step 1: Find the prime factorization of 2442

2442 = 2 x 3 x 11 x 37

Step 2: Find the prime factorization of 2448

2448 = 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2442 and 2448 is 6