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 5444, 5445 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5444 and 5445 is 1.
GCF(5444,5445) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5444
2 | 5444 |
2 | 2722 |
1361 | 1361 |
1 |
Prime factors of 5444 are 2,1361. Prime factorization of 5444 in exponential form is:
5444 = 22×13611
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
∴ So by taking common prime factors GCF of 5444 and 5445 is 1
Factors of 5444
List of positive integer factors of 5444 that divides 5444 without a remainder.
1,2,4,1361,2722,5444
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
Greatest Common Factor
We found the factors and prime factorization of 5444 and 5445. The biggest common factor number is the GCF number.
So the greatest common factor 5444 and 5445 is 1.
Also check out the Least Common Multiple of 5444 and 5445
(i) The GCF of 5444 and 5445 is associative
GCF of 5444 and 5445 = GCF of 5445 and 5444
1. What is the GCF of 5444 and 5445?
Answer: GCF of 5444 and 5445 is 1.
2. What are the Factors of 5444?
Answer: Factors of 5444 are 1, 2, 4, 1361, 2722, 5444. There are 6 integers that are factors of 5444. The greatest factor of 5444 is 5444.
3. 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.
4. How to Find the GCF of 5444 and 5445?
Answer:
Greatest Common Factor of 5444 and 5445 = 1
Step 1: Find the prime factorization of 5444
5444 = 2 x 2 x 1361
Step 2: Find the prime factorization of 5445
5445 = 3 x 3 x 5 x 11 x 11
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 5444 and 5445 is 1