Greatest Common Factor of 2440 and 2444

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 2440, 2444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2440 and 2444 is 4.

GCF(2440,2444) = 4

GCF of 2440 and 2444

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

GCF of:
and

Greatest Common Factor of 2440 and 2444

GCF of 2440 and 2444 is 4

Prime Factorization of 2440


2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 2440 are 2,5,61. Prime factorization of 2440 in exponential form is:

2440 = 23×51×611

Prime Factorization of 2444


2 2444
2 1222
13 611
47 47
1

Prime factors of 2444 are 2,13,47. Prime factorization of 2444 in exponential form is:

2444 = 22×131×471

∴ So by taking common prime factors GCF of 2440 and 2444 is 4

Greatest Common Factor of 2440 and 2444 by matching factors method

Factors of 2440

List of positive integer factors of 2440 that divides 2440 without a remainder.

1,2,4,5,8,10,20,40,61,122,244,305,488,610,1220,2440

Factors of 2444

List of positive integer factors of 2444 that divides 2444 without a remainder.

1,2,4,13,26,47,52,94,188,611,1222,2444

Greatest Common Factor

We found the factors and prime factorization of 2440 and 2444. The biggest common factor number is the GCF number.
So the greatest common factor 2440 and 2444 is 4.

Also check out the Least Common Multiple of 2440 and 2444

Properties of GCF 2440 and 2444

(i) The GCF of 2440 and 2444 is associative

GCF of 2440 and 2444 = GCF of 2444 and 2440

Related Greatest Common Factor of 2440

Related Greatest Common Factor of 2444

Frequently Asked Questions on GCF of 2440 and 2444

1. What is the GCF of 2440 and 2444?

Answer: GCF of 2440 and 2444 is 4.

2. What are the Factors of 2440?

Answer: Factors of 2440 are 1, 2, 4, 5, 8, 10, 20, 40, 61, 122, 244, 305, 488, 610, 1220, 2440. There are 16 integers that are factors of 2440. The greatest factor of 2440 is 2440.

3. What are the Factors of 2444?

Answer: Factors of 2444 are 1, 2, 4, 13, 26, 47, 52, 94, 188, 611, 1222, 2444. There are 12 integers that are factors of 2444. The greatest factor of 2444 is 2444.

4. How to Find the GCF of 2440 and 2444?

Answer:

Greatest Common Factor of 2440 and 2444 = 4

Step 1: Find the prime factorization of 2440

2440 = 2 x 2 x 2 x 5 x 61

Step 2: Find the prime factorization of 2444

2444 = 2 x 2 x 13 x 47

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2440 and 2444 is 4