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 4250, 4255 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4250 and 4255 is 5.
GCF(4250,4255) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4250
2 | 4250 |
5 | 2125 |
5 | 425 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 4250 are 2,5,17. Prime factorization of 4250 in exponential form is:
4250 = 21×53×171
Prime Factorization of 4255
5 | 4255 |
23 | 851 |
37 | 37 |
1 |
Prime factors of 4255 are 5,23,37. Prime factorization of 4255 in exponential form is:
4255 = 51×231×371
∴ So by taking common prime factors GCF of 4250 and 4255 is 5
Factors of 4250
List of positive integer factors of 4250 that divides 4250 without a remainder.
1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250
Factors of 4255
List of positive integer factors of 4255 that divides 4255 without a remainder.
1,5,23,37,115,185,851,4255
Greatest Common Factor
We found the factors and prime factorization of 4250 and 4255. The biggest common factor number is the GCF number.
So the greatest common factor 4250 and 4255 is 5.
Also check out the Least Common Multiple of 4250 and 4255
(i) The GCF of 4250 and 4255 is associative
GCF of 4250 and 4255 = GCF of 4255 and 4250
1. What is the GCF of 4250 and 4255?
Answer: GCF of 4250 and 4255 is 5.
2. What are the Factors of 4250?
Answer: Factors of 4250 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125, 4250. There are 16 integers that are factors of 4250. The greatest factor of 4250 is 4250.
3. What are the Factors of 4255?
Answer: Factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255. There are 8 integers that are factors of 4255. The greatest factor of 4255 is 4255.
4. How to Find the GCF of 4250 and 4255?
Answer:
Greatest Common Factor of 4250 and 4255 = 5
Step 1: Find the prime factorization of 4250
4250 = 2 x 5 x 5 x 5 x 17
Step 2: Find the prime factorization of 4255
4255 = 5 x 23 x 37
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 4250 and 4255 is 5