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 5445, 5452 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5445 and 5452 is 1.
GCF(5445,5452) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5445
3 | 5445 |
3 | 1815 |
5 | 605 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 5445 are 3,5,11. Prime factorization of 5445 in exponential form is:
5445 = 32×51×112
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 5445 and 5452 is 1
Factors of 5445
List of positive integer factors of 5445 that divides 5445 without a remainder.
1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
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 5445 and 5452. The biggest common factor number is the GCF number.
So the greatest common factor 5445 and 5452 is 1.
Also check out the Least Common Multiple of 5445 and 5452
(i) The GCF of 5445 and 5452 is associative
GCF of 5445 and 5452 = GCF of 5452 and 5445
1. What is the GCF of 5445 and 5452?
Answer: GCF of 5445 and 5452 is 1.
2. What are the Factors of 5445?
Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.
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 5445 and 5452?
Answer:
Greatest Common Factor of 5445 and 5452 = 1
Step 1: Find the prime factorization of 5445
5445 = 3 x 3 x 5 x 11 x 11
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 = = 1
Step 4: Therefore, the greatest common factor of 5445 and 5452 is 1