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 235, 236 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 235 and 236 is 1.
GCF(235,236) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 235
5 | 235 |
47 | 47 |
1 |
Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:
235 = 51×471
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
∴ So by taking common prime factors GCF of 235 and 236 is 1
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors and prime factorization of 235 and 236. The biggest common factor number is the GCF number.
So the greatest common factor 235 and 236 is 1.
Also check out the Least Common Multiple of 235 and 236
(i) The GCF of 235 and 236 is associative
GCF of 235 and 236 = GCF of 236 and 235
1. What is the GCF of 235 and 236?
Answer: GCF of 235 and 236 is 1.
2. What are the Factors of 235?
Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.
3. 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.
4. How to Find the GCF of 235 and 236?
Answer:
Greatest Common Factor of 235 and 236 = 1
Step 1: Find the prime factorization of 235
235 = 5 x 47
Step 2: Find the prime factorization of 236
236 = 2 x 2 x 59
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 235 and 236 is 1