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, 5446 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5444 and 5446 is 2.
GCF(5444,5446) = 2
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 5446
2 | 5446 |
7 | 2723 |
389 | 389 |
1 |
Prime factors of 5446 are 2,7,389. Prime factorization of 5446 in exponential form is:
5446 = 21×71×3891
∴ So by taking common prime factors GCF of 5444 and 5446 is 2
Factors of 5444
List of positive integer factors of 5444 that divides 5444 without a remainder.
1,2,4,1361,2722,5444
Factors of 5446
List of positive integer factors of 5446 that divides 5446 without a remainder.
1,2,7,14,389,778,2723,5446
Greatest Common Factor
We found the factors and prime factorization of 5444 and 5446. The biggest common factor number is the GCF number.
So the greatest common factor 5444 and 5446 is 2.
Also check out the Least Common Multiple of 5444 and 5446
(i) The GCF of 5444 and 5446 is associative
GCF of 5444 and 5446 = GCF of 5446 and 5444
1. What is the GCF of 5444 and 5446?
Answer: GCF of 5444 and 5446 is 2.
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 5446?
Answer: Factors of 5446 are 1, 2, 7, 14, 389, 778, 2723, 5446. There are 8 integers that are factors of 5446. The greatest factor of 5446 is 5446.
4. How to Find the GCF of 5444 and 5446?
Answer:
Greatest Common Factor of 5444 and 5446 = 2
Step 1: Find the prime factorization of 5444
5444 = 2 x 2 x 1361
Step 2: Find the prime factorization of 5446
5446 = 2 x 7 x 389
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 5444 and 5446 is 2