Greatest Common Factor of 5442 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 5442, 5448 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5442 and 5448 is 6.

GCF(5442,5448) = 6

GCF of 5442 and 5448

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

GCF of:
and

Greatest Common Factor of 5442 and 5448

GCF of 5442 and 5448 is 6

Prime Factorization of 5442


2 5442
3 2721
907 907
1

Prime factors of 5442 are 2,3,907. Prime factorization of 5442 in exponential form is:

5442 = 21×31×9071

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 5442 and 5448 is 6

Greatest Common Factor of 5442 and 5448 by matching factors method

Factors of 5442

List of positive integer factors of 5442 that divides 5442 without a remainder.

1,2,3,6,907,1814,2721,5442

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 5442 and 5448. The biggest common factor number is the GCF number.
So the greatest common factor 5442 and 5448 is 6.

Also check out the Least Common Multiple of 5442 and 5448

Properties of GCF 5442 and 5448

(i) The GCF of 5442 and 5448 is associative

GCF of 5442 and 5448 = GCF of 5448 and 5442

Related Greatest Common Factor of 5442

Related Greatest Common Factor of 5448

Frequently Asked Questions on GCF of 5442 and 5448

1. What is the GCF of 5442 and 5448?

Answer: GCF of 5442 and 5448 is 6.

2. What are the Factors of 5442?

Answer: Factors of 5442 are 1, 2, 3, 6, 907, 1814, 2721, 5442. There are 8 integers that are factors of 5442. The greatest factor of 5442 is 5442.

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 5442 and 5448?

Answer:

Greatest Common Factor of 5442 and 5448 = 6

Step 1: Find the prime factorization of 5442

5442 = 2 x 3 x 907

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 3 = 6

Step 4: Therefore, the greatest common factor of 5442 and 5448 is 6