Greatest Common Factor of 5444 and 5448

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, 5448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5444 and 5448 is 4.

GCF(5444,5448) = 4

GCF of 5444 and 5448

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

GCF of:
and

Greatest Common Factor of 5444 and 5448

GCF of 5444 and 5448 is 4

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 5448


2 5448
2 2724
2 1362
3 681
227 227
1

Prime factors of 5448 are 2,3,227. Prime factorization of 5448 in exponential form is:

5448 = 23×31×2271

∴ So by taking common prime factors GCF of 5444 and 5448 is 4

Greatest Common Factor of 5444 and 5448 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 5448

List of positive integer factors of 5448 that divides 5448 without a remainder.

1,2,3,4,6,8,12,24,227,454,681,908,1362,1816,2724,5448

Greatest Common Factor

We found the factors and prime factorization of 5444 and 5448. The biggest common factor number is the GCF number.
So the greatest common factor 5444 and 5448 is 4.

Also check out the Least Common Multiple of 5444 and 5448

Properties of GCF 5444 and 5448

(i) The GCF of 5444 and 5448 is associative

GCF of 5444 and 5448 = GCF of 5448 and 5444

Related Greatest Common Factor of 5444

Related Greatest Common Factor of 5448

Frequently Asked Questions on GCF of 5444 and 5448

1. What is the GCF of 5444 and 5448?

Answer: GCF of 5444 and 5448 is 4.

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 5448?

Answer: Factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448. There are 16 integers that are factors of 5448. The greatest factor of 5448 is 5448.

4. How to Find the GCF of 5444 and 5448?

Answer:

Greatest Common Factor of 5444 and 5448 = 4

Step 1: Find the prime factorization of 5444

5444 = 2 x 2 x 1361

Step 2: Find the prime factorization of 5448

5448 = 2 x 2 x 2 x 3 x 227

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 5444 and 5448 is 4