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 4235, 4243 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4235 and 4243 is 1.
GCF(4235,4243) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4235
5 | 4235 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 4235 are 5,7,11. Prime factorization of 4235 in exponential form is:
4235 = 51×71×112
Prime Factorization of 4243
4243 | 4243 |
1 |
Prime factors of 4243 are 4243. Prime factorization of 4243 in exponential form is:
4243 = 42431
∴ So by taking common prime factors GCF of 4235 and 4243 is 1
Factors of 4235
List of positive integer factors of 4235 that divides 4235 without a remainder.
1,5,7,11,35,55,77,121,385,605,847,4235
Factors of 4243
List of positive integer factors of 4243 that divides 4243 without a remainder.
1,4243
Greatest Common Factor
We found the factors and prime factorization of 4235 and 4243. The biggest common factor number is the GCF number.
So the greatest common factor 4235 and 4243 is 1.
Also check out the Least Common Multiple of 4235 and 4243
(i) The GCF of 4235 and 4243 is associative
GCF of 4235 and 4243 = GCF of 4243 and 4235
1. What is the GCF of 4235 and 4243?
Answer: GCF of 4235 and 4243 is 1.
2. What are the Factors of 4235?
Answer: Factors of 4235 are 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 4235. There are 12 integers that are factors of 4235. The greatest factor of 4235 is 4235.
3. What are the Factors of 4243?
Answer: Factors of 4243 are 1, 4243. There are 2 integers that are factors of 4243. The greatest factor of 4243 is 4243.
4. How to Find the GCF of 4235 and 4243?
Answer:
Greatest Common Factor of 4235 and 4243 = 1
Step 1: Find the prime factorization of 4235
4235 = 5 x 7 x 11 x 11
Step 2: Find the prime factorization of 4243
4243 = 4243
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 4235 and 4243 is 1