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 6232, 6237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6232 and 6237 is 1.
GCF(6232,6237) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6232
2 | 6232 |
2 | 3116 |
2 | 1558 |
19 | 779 |
41 | 41 |
1 |
Prime factors of 6232 are 2,19,41. Prime factorization of 6232 in exponential form is:
6232 = 23×191×411
Prime Factorization of 6237
3 | 6237 |
3 | 2079 |
3 | 693 |
3 | 231 |
7 | 77 |
11 | 11 |
1 |
Prime factors of 6237 are 3,7,11. Prime factorization of 6237 in exponential form is:
6237 = 34×71×111
∴ So by taking common prime factors GCF of 6232 and 6237 is 1
Factors of 6232
List of positive integer factors of 6232 that divides 6232 without a remainder.
1,2,4,8,19,38,41,76,82,152,164,328,779,1558,3116,6232
Factors of 6237
List of positive integer factors of 6237 that divides 6237 without a remainder.
1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237
Greatest Common Factor
We found the factors and prime factorization of 6232 and 6237. The biggest common factor number is the GCF number.
So the greatest common factor 6232 and 6237 is 1.
Also check out the Least Common Multiple of 6232 and 6237
(i) The GCF of 6232 and 6237 is associative
GCF of 6232 and 6237 = GCF of 6237 and 6232
1. What is the GCF of 6232 and 6237?
Answer: GCF of 6232 and 6237 is 1.
2. What are the Factors of 6232?
Answer: Factors of 6232 are 1, 2, 4, 8, 19, 38, 41, 76, 82, 152, 164, 328, 779, 1558, 3116, 6232. There are 16 integers that are factors of 6232. The greatest factor of 6232 is 6232.
3. What are the Factors of 6237?
Answer: Factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237. There are 20 integers that are factors of 6237. The greatest factor of 6237 is 6237.
4. How to Find the GCF of 6232 and 6237?
Answer:
Greatest Common Factor of 6232 and 6237 = 1
Step 1: Find the prime factorization of 6232
6232 = 2 x 2 x 2 x 19 x 41
Step 2: Find the prime factorization of 6237
6237 = 3 x 3 x 3 x 3 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 6232 and 6237 is 1