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 236, 243 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 236 and 243 is 1.
GCF(236,243) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 236
2 | 236 |
2 | 118 |
59 | 59 |
1 |
Prime factors of 236 are 2,59. Prime factorization of 236 in exponential form is:
236 = 22×591
Prime Factorization of 243
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 243 are 3. Prime factorization of 243 in exponential form is:
243 = 35
∴ So by taking common prime factors GCF of 236 and 243 is 1
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors and prime factorization of 236 and 243. The biggest common factor number is the GCF number.
So the greatest common factor 236 and 243 is 1.
Also check out the Least Common Multiple of 236 and 243
(i) The GCF of 236 and 243 is associative
GCF of 236 and 243 = GCF of 243 and 236
1. What is the GCF of 236 and 243?
Answer: GCF of 236 and 243 is 1.
2. What are the Factors of 236?
Answer: Factors of 236 are 1, 2, 4, 59, 118, 236. There are 6 integers that are factors of 236. The greatest factor of 236 is 236.
3. What are the Factors of 243?
Answer: Factors of 243 are 1, 3, 9, 27, 81, 243. There are 6 integers that are factors of 243. The greatest factor of 243 is 243.
4. How to Find the GCF of 236 and 243?
Answer:
Greatest Common Factor of 236 and 243 = 1
Step 1: Find the prime factorization of 236
236 = 2 x 2 x 59
Step 2: Find the prime factorization of 243
243 = 3 x 3 x 3 x 3 x 3
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 236 and 243 is 1