Greatest Common Factor of 33231 and 33237

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 33231, 33237 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 33231 and 33237 is 3.

GCF(33231,33237) = 3

GCF of 33231 and 33237

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

GCF of:
and

Greatest Common Factor of 33231 and 33237

GCF of 33231 and 33237 is 3

Prime Factorization of 33231


3 33231
11 11077
19 1007
53 53
1

Prime factors of 33231 are 3,11,19,53. Prime factorization of 33231 in exponential form is:

33231 = 31×111×191×531

Prime Factorization of 33237


3 33237
3 11079
3 3693
1231 1231
1

Prime factors of 33237 are 3,1231. Prime factorization of 33237 in exponential form is:

33237 = 33×12311

∴ So by taking common prime factors GCF of 33231 and 33237 is 3

Greatest Common Factor of 33231 and 33237 by matching factors method

Factors of 33231

List of positive integer factors of 33231 that divides 33231 without a remainder.

1,3,11,19,33,53,57,159,209,583,627,1007,1749,3021,11077,33231

Factors of 33237

List of positive integer factors of 33237 that divides 33237 without a remainder.

1,3,9,27,1231,3693,11079,33237

Greatest Common Factor

We found the factors and prime factorization of 33231 and 33237. The biggest common factor number is the GCF number.
So the greatest common factor 33231 and 33237 is 3.

Also check out the Least Common Multiple of 33231 and 33237

Properties of GCF 33231 and 33237

(i) The GCF of 33231 and 33237 is associative

GCF of 33231 and 33237 = GCF of 33237 and 33231

Frequently Asked Questions on GCF of 33231 and 33237

1. What is the GCF of 33231 and 33237?

Answer: GCF of 33231 and 33237 is 3.

2. What are the Factors of 33231?

Answer: Factors of 33231 are 1, 3, 11, 19, 33, 53, 57, 159, 209, 583, 627, 1007, 1749, 3021, 11077, 33231. There are 16 integers that are factors of 33231. The greatest factor of 33231 is 33231.

3. What are the Factors of 33237?

Answer: Factors of 33237 are 1, 3, 9, 27, 1231, 3693, 11079, 33237. There are 8 integers that are factors of 33237. The greatest factor of 33237 is 33237.

4. How to Find the GCF of 33231 and 33237?

Answer:

Greatest Common Factor of 33231 and 33237 = 3

Step 1: Find the prime factorization of 33231

33231 = 3 x 11 x 19 x 53

Step 2: Find the prime factorization of 33237

33237 = 3 x 3 x 3 x 1231

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 33231 and 33237 is 3