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 4246, 4250 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4246 and 4250 is 2.
GCF(4246,4250) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4246
2 | 4246 |
11 | 2123 |
193 | 193 |
1 |
Prime factors of 4246 are 2,11,193. Prime factorization of 4246 in exponential form is:
4246 = 21×111×1931
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
∴ So by taking common prime factors GCF of 4246 and 4250 is 2
Factors of 4246
List of positive integer factors of 4246 that divides 4246 without a remainder.
1,2,11,22,193,386,2123,4246
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
Greatest Common Factor
We found the factors and prime factorization of 4246 and 4250. The biggest common factor number is the GCF number.
So the greatest common factor 4246 and 4250 is 2.
Also check out the Least Common Multiple of 4246 and 4250
(i) The GCF of 4246 and 4250 is associative
GCF of 4246 and 4250 = GCF of 4250 and 4246
1. What is the GCF of 4246 and 4250?
Answer: GCF of 4246 and 4250 is 2.
2. What are the Factors of 4246?
Answer: Factors of 4246 are 1, 2, 11, 22, 193, 386, 2123, 4246. There are 8 integers that are factors of 4246. The greatest factor of 4246 is 4246.
3. 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.
4. How to Find the GCF of 4246 and 4250?
Answer:
Greatest Common Factor of 4246 and 4250 = 2
Step 1: Find the prime factorization of 4246
4246 = 2 x 11 x 193
Step 2: Find the prime factorization of 4250
4250 = 2 x 5 x 5 x 5 x 17
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 4246 and 4250 is 2