Greatest Common Factor of 5448 and 5452

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, 5452 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5448 and 5452 is 4.

GCF(5448,5452) = 4

GCF of 5448 and 5452

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

GCF of:
and

Greatest Common Factor of 5448 and 5452

GCF of 5448 and 5452 is 4

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 5452


2 5452
2 2726
29 1363
47 47
1

Prime factors of 5452 are 2,29,47. Prime factorization of 5452 in exponential form is:

5452 = 22×291×471

∴ So by taking common prime factors GCF of 5448 and 5452 is 4

Greatest Common Factor of 5448 and 5452 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 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1,2,4,29,47,58,94,116,188,1363,2726,5452

Greatest Common Factor

We found the factors and prime factorization of 5448 and 5452. The biggest common factor number is the GCF number.
So the greatest common factor 5448 and 5452 is 4.

Also check out the Least Common Multiple of 5448 and 5452

Properties of GCF 5448 and 5452

(i) The GCF of 5448 and 5452 is associative

GCF of 5448 and 5452 = GCF of 5452 and 5448

Related Greatest Common Factor of 5448

Related Greatest Common Factor of 5452

Frequently Asked Questions on GCF of 5448 and 5452

1. What is the GCF of 5448 and 5452?

Answer: GCF of 5448 and 5452 is 4.

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 5452?

Answer: Factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452. There are 12 integers that are factors of 5452. The greatest factor of 5452 is 5452.

4. How to Find the GCF of 5448 and 5452?

Answer:

Greatest Common Factor of 5448 and 5452 = 4

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 5452

5452 = 2 x 2 x 29 x 47

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 5448 and 5452 is 4