Greatest Common Factor of 3440 and 3444

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 3440, 3444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3440 and 3444 is 4.

GCF(3440,3444) = 4

GCF of 3440 and 3444

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

GCF of:
and

Greatest Common Factor of 3440 and 3444

GCF of 3440 and 3444 is 4

Prime Factorization of 3440


2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 3440 are 2,5,43. Prime factorization of 3440 in exponential form is:

3440 = 24×51×431

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2,3,7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

∴ So by taking common prime factors GCF of 3440 and 3444 is 4

Greatest Common Factor of 3440 and 3444 by matching factors method

Factors of 3440

List of positive integer factors of 3440 that divides 3440 without a remainder.

1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

Greatest Common Factor

We found the factors and prime factorization of 3440 and 3444. The biggest common factor number is the GCF number.
So the greatest common factor 3440 and 3444 is 4.

Also check out the Least Common Multiple of 3440 and 3444

Properties of GCF 3440 and 3444

(i) The GCF of 3440 and 3444 is associative

GCF of 3440 and 3444 = GCF of 3444 and 3440

Related Greatest Common Factor of 3440

Related Greatest Common Factor of 3444

Frequently Asked Questions on GCF of 3440 and 3444

1. What is the GCF of 3440 and 3444?

Answer: GCF of 3440 and 3444 is 4.

2. What are the Factors of 3440?

Answer: Factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440. There are 20 integers that are factors of 3440. The greatest factor of 3440 is 3440.

3. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

4. How to Find the GCF of 3440 and 3444?

Answer:

Greatest Common Factor of 3440 and 3444 = 4

Step 1: Find the prime factorization of 3440

3440 = 2 x 2 x 2 x 2 x 5 x 43

Step 2: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

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 3440 and 3444 is 4