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 3231, 3238 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3231 and 3238 is 1.
GCF(3231,3238) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3231
3 | 3231 |
3 | 1077 |
359 | 359 |
1 |
Prime factors of 3231 are 3,359. Prime factorization of 3231 in exponential form is:
3231 = 32×3591
Prime Factorization of 3238
2 | 3238 |
1619 | 1619 |
1 |
Prime factors of 3238 are 2,1619. Prime factorization of 3238 in exponential form is:
3238 = 21×16191
∴ So by taking common prime factors GCF of 3231 and 3238 is 1
Factors of 3231
List of positive integer factors of 3231 that divides 3231 without a remainder.
1,3,9,359,1077,3231
Factors of 3238
List of positive integer factors of 3238 that divides 3238 without a remainder.
1,2,1619,3238
Greatest Common Factor
We found the factors and prime factorization of 3231 and 3238. The biggest common factor number is the GCF number.
So the greatest common factor 3231 and 3238 is 1.
Also check out the Least Common Multiple of 3231 and 3238
(i) The GCF of 3231 and 3238 is associative
GCF of 3231 and 3238 = GCF of 3238 and 3231
1. What is the GCF of 3231 and 3238?
Answer: GCF of 3231 and 3238 is 1.
2. What are the Factors of 3231?
Answer: Factors of 3231 are 1, 3, 9, 359, 1077, 3231. There are 6 integers that are factors of 3231. The greatest factor of 3231 is 3231.
3. What are the Factors of 3238?
Answer: Factors of 3238 are 1, 2, 1619, 3238. There are 4 integers that are factors of 3238. The greatest factor of 3238 is 3238.
4. How to Find the GCF of 3231 and 3238?
Answer:
Greatest Common Factor of 3231 and 3238 = 1
Step 1: Find the prime factorization of 3231
3231 = 3 x 3 x 359
Step 2: Find the prime factorization of 3238
3238 = 2 x 1619
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 3231 and 3238 is 1