Greatest Common Factor of 3231 and 3237

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

GCF of 3231 and 3237

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3231 and 3237

GCF of 3231 and 3237 is 3

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

Greatest Common Factor of 3231 and 3237 by matching factors method

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

Properties of GCF 3231 and 3237

(i) The GCF of 3231 and 3237 is associative

GCF of 3231 and 3237 = GCF of 3237 and 3231

Frequently Asked Questions on GCF of 3231 and 3237

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