Greatest Common Factor of 5448 and 5454

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 5448, 5454 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5448 and 5454 is 6.

GCF(5448,5454) = 6

GCF of 5448 and 5454

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

GCF of:
and

Greatest Common Factor of 5448 and 5454

GCF of 5448 and 5454 is 6

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

Prime Factorization of 5454


2 5454
3 2727
3 909
3 303
101 101
1

Prime factors of 5454 are 2,3,101. Prime factorization of 5454 in exponential form is:

5454 = 21×33×1011

∴ So by taking common prime factors GCF of 5448 and 5454 is 6

Greatest Common Factor of 5448 and 5454 by matching factors method

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

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454

Greatest Common Factor

We found the factors and prime factorization of 5448 and 5454. The biggest common factor number is the GCF number.
So the greatest common factor 5448 and 5454 is 6.

Also check out the Least Common Multiple of 5448 and 5454

Properties of GCF 5448 and 5454

(i) The GCF of 5448 and 5454 is associative

GCF of 5448 and 5454 = GCF of 5454 and 5448

Related Greatest Common Factor of 5448

Related Greatest Common Factor of 5454

Frequently Asked Questions on GCF of 5448 and 5454

1. What is the GCF of 5448 and 5454?

Answer: GCF of 5448 and 5454 is 6.

2. 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.

3. What are the Factors of 5454?

Answer: Factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454. There are 16 integers that are factors of 5454. The greatest factor of 5454 is 5454.

4. How to Find the GCF of 5448 and 5454?

Answer:

Greatest Common Factor of 5448 and 5454 = 6

Step 1: Find the prime factorization of 5448

5448 = 2 x 2 x 2 x 3 x 227

Step 2: Find the prime factorization of 5454

5454 = 2 x 3 x 3 x 3 x 101

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 5448 and 5454 is 6