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 5648, 5649 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5648 and 5649 is 1.
GCF(5648,5649) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5648
2 | 5648 |
2 | 2824 |
2 | 1412 |
2 | 706 |
353 | 353 |
1 |
Prime factors of 5648 are 2,353. Prime factorization of 5648 in exponential form is:
5648 = 24×3531
Prime Factorization of 5649
3 | 5649 |
7 | 1883 |
269 | 269 |
1 |
Prime factors of 5649 are 3,7,269. Prime factorization of 5649 in exponential form is:
5649 = 31×71×2691
∴ So by taking common prime factors GCF of 5648 and 5649 is 1
Factors of 5648
List of positive integer factors of 5648 that divides 5648 without a remainder.
1,2,4,8,16,353,706,1412,2824,5648
Factors of 5649
List of positive integer factors of 5649 that divides 5649 without a remainder.
1,3,7,21,269,807,1883,5649
Greatest Common Factor
We found the factors and prime factorization of 5648 and 5649. The biggest common factor number is the GCF number.
So the greatest common factor 5648 and 5649 is 1.
Also check out the Least Common Multiple of 5648 and 5649
(i) The GCF of 5648 and 5649 is associative
GCF of 5648 and 5649 = GCF of 5649 and 5648
1. What is the GCF of 5648 and 5649?
Answer: GCF of 5648 and 5649 is 1.
2. What are the Factors of 5648?
Answer: Factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648. There are 10 integers that are factors of 5648. The greatest factor of 5648 is 5648.
3. What are the Factors of 5649?
Answer: Factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649. There are 8 integers that are factors of 5649. The greatest factor of 5649 is 5649.
4. How to Find the GCF of 5648 and 5649?
Answer:
Greatest Common Factor of 5648 and 5649 = 1
Step 1: Find the prime factorization of 5648
5648 = 2 x 2 x 2 x 2 x 353
Step 2: Find the prime factorization of 5649
5649 = 3 x 7 x 269
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 5648 and 5649 is 1