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 6231, 6232 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6231 and 6232 is 1.
GCF(6231,6232) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6231
3 | 6231 |
31 | 2077 |
67 | 67 |
1 |
Prime factors of 6231 are 3,31,67. Prime factorization of 6231 in exponential form is:
6231 = 31×311×671
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
∴ So by taking common prime factors GCF of 6231 and 6232 is 1
Factors of 6231
List of positive integer factors of 6231 that divides 6231 without a remainder.
1,3,31,67,93,201,2077,6231
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
Greatest Common Factor
We found the factors and prime factorization of 6231 and 6232. The biggest common factor number is the GCF number.
So the greatest common factor 6231 and 6232 is 1.
Also check out the Least Common Multiple of 6231 and 6232
(i) The GCF of 6231 and 6232 is associative
GCF of 6231 and 6232 = GCF of 6232 and 6231
1. What is the GCF of 6231 and 6232?
Answer: GCF of 6231 and 6232 is 1.
2. What are the Factors of 6231?
Answer: Factors of 6231 are 1, 3, 31, 67, 93, 201, 2077, 6231. There are 8 integers that are factors of 6231. The greatest factor of 6231 is 6231.
3. 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.
4. How to Find the GCF of 6231 and 6232?
Answer:
Greatest Common Factor of 6231 and 6232 = 1
Step 1: Find the prime factorization of 6231
6231 = 3 x 31 x 67
Step 2: Find the prime factorization of 6232
6232 = 2 x 2 x 2 x 19 x 41
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 6231 and 6232 is 1