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 1232, 1236 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1232 and 1236 is 4.
GCF(1232,1236) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1236
2 | 1236 |
2 | 618 |
3 | 309 |
103 | 103 |
1 |
Prime factors of 1236 are 2,3,103. Prime factorization of 1236 in exponential form is:
1236 = 22×31×1031
∴ So by taking common prime factors GCF of 1232 and 1236 is 4
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
Factors of 1236
List of positive integer factors of 1236 that divides 1236 without a remainder.
1,2,3,4,6,12,103,206,309,412,618,1236
Greatest Common Factor
We found the factors and prime factorization of 1232 and 1236. The biggest common factor number is the GCF number.
So the greatest common factor 1232 and 1236 is 4.
Also check out the Least Common Multiple of 1232 and 1236
(i) The GCF of 1232 and 1236 is associative
GCF of 1232 and 1236 = GCF of 1236 and 1232
1. What is the GCF of 1232 and 1236?
Answer: GCF of 1232 and 1236 is 4.
2. 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.
3. What are the Factors of 1236?
Answer: Factors of 1236 are 1, 2, 3, 4, 6, 12, 103, 206, 309, 412, 618, 1236. There are 12 integers that are factors of 1236. The greatest factor of 1236 is 1236.
4. How to Find the GCF of 1232 and 1236?
Answer:
Greatest Common Factor of 1232 and 1236 = 4
Step 1: Find the prime factorization of 1232
1232 = 2 x 2 x 2 x 2 x 7 x 11
Step 2: Find the prime factorization of 1236
1236 = 2 x 2 x 3 x 103
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 1232 and 1236 is 4