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, 5453 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5448 and 5453 is 1.
GCF(5448,5453) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 5453
7 | 5453 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 5453 are 7,19,41. Prime factorization of 5453 in exponential form is:
5453 = 71×191×411
∴ So by taking common prime factors GCF of 5448 and 5453 is 1
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 5453
List of positive integer factors of 5453 that divides 5453 without a remainder.
1,7,19,41,133,287,779,5453
Greatest Common Factor
We found the factors and prime factorization of 5448 and 5453. The biggest common factor number is the GCF number.
So the greatest common factor 5448 and 5453 is 1.
Also check out the Least Common Multiple of 5448 and 5453
(i) The GCF of 5448 and 5453 is associative
GCF of 5448 and 5453 = GCF of 5453 and 5448
1. What is the GCF of 5448 and 5453?
Answer: GCF of 5448 and 5453 is 1.
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 5453?
Answer: Factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453. There are 8 integers that are factors of 5453. The greatest factor of 5453 is 5453.
4. How to Find the GCF of 5448 and 5453?
Answer:
Greatest Common Factor of 5448 and 5453 = 1
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 5453
5453 = 7 x 19 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 5448 and 5453 is 1