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 12232, 12237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 12232 and 12237 is 1.
GCF(12232,12237) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 12232
2 | 12232 |
2 | 6116 |
2 | 3058 |
11 | 1529 |
139 | 139 |
1 |
Prime factors of 12232 are 2,11,139. Prime factorization of 12232 in exponential form is:
12232 = 23×111×1391
Prime Factorization of 12237
3 | 12237 |
4079 | 4079 |
1 |
Prime factors of 12237 are 3,4079. Prime factorization of 12237 in exponential form is:
12237 = 31×40791
∴ So by taking common prime factors GCF of 12232 and 12237 is 1
Factors of 12232
List of positive integer factors of 12232 that divides 12232 without a remainder.
1,2,4,8,11,22,44,88,139,278,556,1112,1529,3058,6116,12232
Factors of 12237
List of positive integer factors of 12237 that divides 12237 without a remainder.
1,3,4079,12237
Greatest Common Factor
We found the factors and prime factorization of 12232 and 12237. The biggest common factor number is the GCF number.
So the greatest common factor 12232 and 12237 is 1.
Also check out the Least Common Multiple of 12232 and 12237
(i) The GCF of 12232 and 12237 is associative
GCF of 12232 and 12237 = GCF of 12237 and 12232
1. What is the GCF of 12232 and 12237?
Answer: GCF of 12232 and 12237 is 1.
2. What are the Factors of 12232?
Answer: Factors of 12232 are 1, 2, 4, 8, 11, 22, 44, 88, 139, 278, 556, 1112, 1529, 3058, 6116, 12232. There are 16 integers that are factors of 12232. The greatest factor of 12232 is 12232.
3. What are the Factors of 12237?
Answer: Factors of 12237 are 1, 3, 4079, 12237. There are 4 integers that are factors of 12237. The greatest factor of 12237 is 12237.
4. How to Find the GCF of 12232 and 12237?
Answer:
Greatest Common Factor of 12232 and 12237 = 1
Step 1: Find the prime factorization of 12232
12232 = 2 x 2 x 2 x 11 x 139
Step 2: Find the prime factorization of 12237
12237 = 3 x 4079
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 12232 and 12237 is 1