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 5645, 5648 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5645 and 5648 is 1.
GCF(5645,5648) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5645
5 | 5645 |
1129 | 1129 |
1 |
Prime factors of 5645 are 5,1129. Prime factorization of 5645 in exponential form is:
5645 = 51×11291
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
∴ So by taking common prime factors GCF of 5645 and 5648 is 1
Factors of 5645
List of positive integer factors of 5645 that divides 5645 without a remainder.
1,5,1129,5645
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
Greatest Common Factor
We found the factors and prime factorization of 5645 and 5648. The biggest common factor number is the GCF number.
So the greatest common factor 5645 and 5648 is 1.
Also check out the Least Common Multiple of 5645 and 5648
(i) The GCF of 5645 and 5648 is associative
GCF of 5645 and 5648 = GCF of 5648 and 5645
1. What is the GCF of 5645 and 5648?
Answer: GCF of 5645 and 5648 is 1.
2. What are the Factors of 5645?
Answer: Factors of 5645 are 1, 5, 1129, 5645. There are 4 integers that are factors of 5645. The greatest factor of 5645 is 5645.
3. 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.
4. How to Find the GCF of 5645 and 5648?
Answer:
Greatest Common Factor of 5645 and 5648 = 1
Step 1: Find the prime factorization of 5645
5645 = 5 x 1129
Step 2: Find the prime factorization of 5648
5648 = 2 x 2 x 2 x 2 x 353
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 5645 and 5648 is 1