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, 3237 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3231 and 3237 is 3.
GCF(3231,3237) = 3
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 3237
3 | 3237 |
13 | 1079 |
83 | 83 |
1 |
Prime factors of 3237 are 3,13,83. Prime factorization of 3237 in exponential form is:
3237 = 31×131×831
∴ So by taking common prime factors GCF of 3231 and 3237 is 3
Factors of 3231
List of positive integer factors of 3231 that divides 3231 without a remainder.
1,3,9,359,1077,3231
Factors of 3237
List of positive integer factors of 3237 that divides 3237 without a remainder.
1,3,13,39,83,249,1079,3237
Greatest Common Factor
We found the factors and prime factorization of 3231 and 3237. The biggest common factor number is the GCF number.
So the greatest common factor 3231 and 3237 is 3.
Also check out the Least Common Multiple of 3231 and 3237
(i) The GCF of 3231 and 3237 is associative
GCF of 3231 and 3237 = GCF of 3237 and 3231
1. What is the GCF of 3231 and 3237?
Answer: GCF of 3231 and 3237 is 3.
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 3237?
Answer: Factors of 3237 are 1, 3, 13, 39, 83, 249, 1079, 3237. There are 8 integers that are factors of 3237. The greatest factor of 3237 is 3237.
4. How to Find the GCF of 3231 and 3237?
Answer:
Greatest Common Factor of 3231 and 3237 = 3
Step 1: Find the prime factorization of 3231
3231 = 3 x 3 x 359
Step 2: Find the prime factorization of 3237
3237 = 3 x 13 x 83
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 3231 and 3237 is 3