Greatest Common Factor of 5440 and 5445

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 5440, 5445 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5440 and 5445 is 5.

GCF(5440,5445) = 5

GCF of 5440 and 5445

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

GCF of:
and

Greatest Common Factor of 5440 and 5445

GCF of 5440 and 5445 is 5

Prime Factorization of 5440


2 5440
2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 5440 are 2,5,17. Prime factorization of 5440 in exponential form is:

5440 = 26×51×171

Prime Factorization of 5445


3 5445
3 1815
5 605
11 121
11 11
1

Prime factors of 5445 are 3,5,11. Prime factorization of 5445 in exponential form is:

5445 = 32×51×112

∴ So by taking common prime factors GCF of 5440 and 5445 is 5

Greatest Common Factor of 5440 and 5445 by matching factors method

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445

Greatest Common Factor

We found the factors and prime factorization of 5440 and 5445. The biggest common factor number is the GCF number.
So the greatest common factor 5440 and 5445 is 5.

Also check out the Least Common Multiple of 5440 and 5445

Properties of GCF 5440 and 5445

(i) The GCF of 5440 and 5445 is associative

GCF of 5440 and 5445 = GCF of 5445 and 5440

Related Greatest Common Factor of 5440

Related Greatest Common Factor of 5445

Frequently Asked Questions on GCF of 5440 and 5445

1. What is the GCF of 5440 and 5445?

Answer: GCF of 5440 and 5445 is 5.

2. What are the Factors of 5440?

Answer: Factors of 5440 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 136, 160, 170, 272, 320, 340, 544, 680, 1088, 1360, 2720, 5440. There are 28 integers that are factors of 5440. The greatest factor of 5440 is 5440.

3. What are the Factors of 5445?

Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.

4. How to Find the GCF of 5440 and 5445?

Answer:

Greatest Common Factor of 5440 and 5445 = 5

Step 1: Find the prime factorization of 5440

5440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 5445

5445 = 3 x 3 x 5 x 11 x 11

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 5440 and 5445 is 5