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 2648, 2650 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2648 and 2650 is 2.
GCF(2648,2650) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2648
2 | 2648 |
2 | 1324 |
2 | 662 |
331 | 331 |
1 |
Prime factors of 2648 are 2,331. Prime factorization of 2648 in exponential form is:
2648 = 23×3311
Prime Factorization of 2650
2 | 2650 |
5 | 1325 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 2650 are 2,5,53. Prime factorization of 2650 in exponential form is:
2650 = 21×52×531
∴ So by taking common prime factors GCF of 2648 and 2650 is 2
Factors of 2648
List of positive integer factors of 2648 that divides 2648 without a remainder.
1,2,4,8,331,662,1324,2648
Factors of 2650
List of positive integer factors of 2650 that divides 2650 without a remainder.
1,2,5,10,25,50,53,106,265,530,1325,2650
Greatest Common Factor
We found the factors and prime factorization of 2648 and 2650. The biggest common factor number is the GCF number.
So the greatest common factor 2648 and 2650 is 2.
Also check out the Least Common Multiple of 2648 and 2650
(i) The GCF of 2648 and 2650 is associative
GCF of 2648 and 2650 = GCF of 2650 and 2648
1. What is the GCF of 2648 and 2650?
Answer: GCF of 2648 and 2650 is 2.
2. What are the Factors of 2648?
Answer: Factors of 2648 are 1, 2, 4, 8, 331, 662, 1324, 2648. There are 8 integers that are factors of 2648. The greatest factor of 2648 is 2648.
3. What are the Factors of 2650?
Answer: Factors of 2650 are 1, 2, 5, 10, 25, 50, 53, 106, 265, 530, 1325, 2650. There are 12 integers that are factors of 2650. The greatest factor of 2650 is 2650.
4. How to Find the GCF of 2648 and 2650?
Answer:
Greatest Common Factor of 2648 and 2650 = 2
Step 1: Find the prime factorization of 2648
2648 = 2 x 2 x 2 x 331
Step 2: Find the prime factorization of 2650
2650 = 2 x 5 x 5 x 53
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 2648 and 2650 is 2