Greatest Common Factor of 4440 and 4444

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 4440, 4444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4440 and 4444 is 4.

GCF(4440,4444) = 4

GCF of 4440 and 4444

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

GCF of:
and

Greatest Common Factor of 4440 and 4444

GCF of 4440 and 4444 is 4

Prime Factorization of 4440


2 4440
2 2220
2 1110
3 555
5 185
37 37
1

Prime factors of 4440 are 2,3,5,37. Prime factorization of 4440 in exponential form is:

4440 = 23×31×51×371

Prime Factorization of 4444


2 4444
2 2222
11 1111
101 101
1

Prime factors of 4444 are 2,11,101. Prime factorization of 4444 in exponential form is:

4444 = 22×111×1011

∴ So by taking common prime factors GCF of 4440 and 4444 is 4

Greatest Common Factor of 4440 and 4444 by matching factors method

Factors of 4440

List of positive integer factors of 4440 that divides 4440 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,37,40,60,74,111,120,148,185,222,296,370,444,555,740,888,1110,1480,2220,4440

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1,2,4,11,22,44,101,202,404,1111,2222,4444

Greatest Common Factor

We found the factors and prime factorization of 4440 and 4444. The biggest common factor number is the GCF number.
So the greatest common factor 4440 and 4444 is 4.

Also check out the Least Common Multiple of 4440 and 4444

Properties of GCF 4440 and 4444

(i) The GCF of 4440 and 4444 is associative

GCF of 4440 and 4444 = GCF of 4444 and 4440

Related Greatest Common Factor of 4440

Related Greatest Common Factor of 4444

Frequently Asked Questions on GCF of 4440 and 4444

1. What is the GCF of 4440 and 4444?

Answer: GCF of 4440 and 4444 is 4.

2. What are the Factors of 4440?

Answer: Factors of 4440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440. There are 32 integers that are factors of 4440. The greatest factor of 4440 is 4440.

3. What are the Factors of 4444?

Answer: Factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444. There are 12 integers that are factors of 4444. The greatest factor of 4444 is 4444.

4. How to Find the GCF of 4440 and 4444?

Answer:

Greatest Common Factor of 4440 and 4444 = 4

Step 1: Find the prime factorization of 4440

4440 = 2 x 2 x 2 x 3 x 5 x 37

Step 2: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

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 4440 and 4444 is 4