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 1227, 1232 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1227 and 1232 is 1.
GCF(1227,1232) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1227
3 | 1227 |
409 | 409 |
1 |
Prime factors of 1227 are 3,409. Prime factorization of 1227 in exponential form is:
1227 = 31×4091
Prime Factorization of 1232
2 | 1232 |
2 | 616 |
2 | 308 |
2 | 154 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 1232 are 2,7,11. Prime factorization of 1232 in exponential form is:
1232 = 24×71×111
∴ So by taking common prime factors GCF of 1227 and 1232 is 1
Factors of 1227
List of positive integer factors of 1227 that divides 1227 without a remainder.
1,3,409,1227
Factors of 1232
List of positive integer factors of 1232 that divides 1232 without a remainder.
1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232
Greatest Common Factor
We found the factors and prime factorization of 1227 and 1232. The biggest common factor number is the GCF number.
So the greatest common factor 1227 and 1232 is 1.
Also check out the Least Common Multiple of 1227 and 1232
(i) The GCF of 1227 and 1232 is associative
GCF of 1227 and 1232 = GCF of 1232 and 1227
1. What is the GCF of 1227 and 1232?
Answer: GCF of 1227 and 1232 is 1.
2. What are the Factors of 1227?
Answer: Factors of 1227 are 1, 3, 409, 1227. There are 4 integers that are factors of 1227. The greatest factor of 1227 is 1227.
3. What are the Factors of 1232?
Answer: Factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232. There are 20 integers that are factors of 1232. The greatest factor of 1232 is 1232.
4. How to Find the GCF of 1227 and 1232?
Answer:
Greatest Common Factor of 1227 and 1232 = 1
Step 1: Find the prime factorization of 1227
1227 = 3 x 409
Step 2: Find the prime factorization of 1232
1232 = 2 x 2 x 2 x 2 x 7 x 11
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 1227 and 1232 is 1