Greatest Common Factor of 4440 and 4445

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, 4445 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4440 and 4445 is 5.

GCF(4440,4445) = 5

GCF of 4440 and 4445

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

GCF of:
and

Greatest Common Factor of 4440 and 4445

GCF of 4440 and 4445 is 5

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 4445


5 4445
7 889
127 127
1

Prime factors of 4445 are 5,7,127. Prime factorization of 4445 in exponential form is:

4445 = 51×71×1271

∴ So by taking common prime factors GCF of 4440 and 4445 is 5

Greatest Common Factor of 4440 and 4445 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 4445

List of positive integer factors of 4445 that divides 4445 without a remainder.

1,5,7,35,127,635,889,4445

Greatest Common Factor

We found the factors and prime factorization of 4440 and 4445. The biggest common factor number is the GCF number.
So the greatest common factor 4440 and 4445 is 5.

Also check out the Least Common Multiple of 4440 and 4445

Properties of GCF 4440 and 4445

(i) The GCF of 4440 and 4445 is associative

GCF of 4440 and 4445 = GCF of 4445 and 4440

Related Greatest Common Factor of 4440

Related Greatest Common Factor of 4445

Frequently Asked Questions on GCF of 4440 and 4445

1. What is the GCF of 4440 and 4445?

Answer: GCF of 4440 and 4445 is 5.

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 4445?

Answer: Factors of 4445 are 1, 5, 7, 35, 127, 635, 889, 4445. There are 8 integers that are factors of 4445. The greatest factor of 4445 is 4445.

4. How to Find the GCF of 4440 and 4445?

Answer:

Greatest Common Factor of 4440 and 4445 = 5

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 4445

4445 = 5 x 7 x 127

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4440 and 4445 is 5