Greatest Common Factor of 5444 and 5450

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 5444, 5450 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5444 and 5450 is 2.

GCF(5444,5450) = 2

GCF of 5444 and 5450

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

GCF of:
and

Greatest Common Factor of 5444 and 5450

GCF of 5444 and 5450 is 2

Prime Factorization of 5444


2 5444
2 2722
1361 1361
1

Prime factors of 5444 are 2,1361. Prime factorization of 5444 in exponential form is:

5444 = 22×13611

Prime Factorization of 5450


2 5450
5 2725
5 545
109 109
1

Prime factors of 5450 are 2,5,109. Prime factorization of 5450 in exponential form is:

5450 = 21×52×1091

∴ So by taking common prime factors GCF of 5444 and 5450 is 2

Greatest Common Factor of 5444 and 5450 by matching factors method

Factors of 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1,2,4,1361,2722,5444

Factors of 5450

List of positive integer factors of 5450 that divides 5450 without a remainder.

1,2,5,10,25,50,109,218,545,1090,2725,5450

Greatest Common Factor

We found the factors and prime factorization of 5444 and 5450. The biggest common factor number is the GCF number.
So the greatest common factor 5444 and 5450 is 2.

Also check out the Least Common Multiple of 5444 and 5450

Properties of GCF 5444 and 5450

(i) The GCF of 5444 and 5450 is associative

GCF of 5444 and 5450 = GCF of 5450 and 5444

Related Greatest Common Factor of 5444

Related Greatest Common Factor of 5450

Frequently Asked Questions on GCF of 5444 and 5450

1. What is the GCF of 5444 and 5450?

Answer: GCF of 5444 and 5450 is 2.

2. What are the Factors of 5444?

Answer: Factors of 5444 are 1, 2, 4, 1361, 2722, 5444. There are 6 integers that are factors of 5444. The greatest factor of 5444 is 5444.

3. What are the Factors of 5450?

Answer: Factors of 5450 are 1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725, 5450. There are 12 integers that are factors of 5450. The greatest factor of 5450 is 5450.

4. How to Find the GCF of 5444 and 5450?

Answer:

Greatest Common Factor of 5444 and 5450 = 2

Step 1: Find the prime factorization of 5444

5444 = 2 x 2 x 1361

Step 2: Find the prime factorization of 5450

5450 = 2 x 5 x 5 x 109

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5444 and 5450 is 2