Greatest Common Factor of 39231 and 39237

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 39231, 39237 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39231 and 39237 is 3.

GCF(39231,39237) = 3

GCF of 39231 and 39237

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

GCF of:
and

Greatest Common Factor of 39231 and 39237

GCF of 39231 and 39237 is 3

Prime Factorization of 39231


3 39231
3 13077
3 4359
1453 1453
1

Prime factors of 39231 are 3,1453. Prime factorization of 39231 in exponential form is:

39231 = 33×14531

Prime Factorization of 39237


3 39237
11 13079
29 1189
41 41
1

Prime factors of 39237 are 3,11,29,41. Prime factorization of 39237 in exponential form is:

39237 = 31×111×291×411

∴ So by taking common prime factors GCF of 39231 and 39237 is 3

Greatest Common Factor of 39231 and 39237 by matching factors method

Factors of 39231

List of positive integer factors of 39231 that divides 39231 without a remainder.

1,3,9,27,1453,4359,13077,39231

Factors of 39237

List of positive integer factors of 39237 that divides 39237 without a remainder.

1,3,11,29,33,41,87,123,319,451,957,1189,1353,3567,13079,39237

Greatest Common Factor

We found the factors and prime factorization of 39231 and 39237. The biggest common factor number is the GCF number.
So the greatest common factor 39231 and 39237 is 3.

Also check out the Least Common Multiple of 39231 and 39237

Properties of GCF 39231 and 39237

(i) The GCF of 39231 and 39237 is associative

GCF of 39231 and 39237 = GCF of 39237 and 39231

Related Greatest Common Factor of 39231

Related Greatest Common Factor of 39237

Frequently Asked Questions on GCF of 39231 and 39237

1. What is the GCF of 39231 and 39237?

Answer: GCF of 39231 and 39237 is 3.

2. What are the Factors of 39231?

Answer: Factors of 39231 are 1, 3, 9, 27, 1453, 4359, 13077, 39231. There are 8 integers that are factors of 39231. The greatest factor of 39231 is 39231.

3. What are the Factors of 39237?

Answer: Factors of 39237 are 1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237. There are 16 integers that are factors of 39237. The greatest factor of 39237 is 39237.

4. How to Find the GCF of 39231 and 39237?

Answer:

Greatest Common Factor of 39231 and 39237 = 3

Step 1: Find the prime factorization of 39231

39231 = 3 x 3 x 3 x 1453

Step 2: Find the prime factorization of 39237

39237 = 3 x 11 x 29 x 41

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 39231 and 39237 is 3