Greatest Common Factor of 231 and 237

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 231, 237 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 231 and 237 is 3.

GCF(231,237) = 3

GCF of 231 and 237

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

GCF of:
and

Greatest Common Factor of 231 and 237

GCF of 231 and 237 is 3

Prime Factorization of 231


3 231
7 77
11 11
1

Prime factors of 231 are 3,7,11. Prime factorization of 231 in exponential form is:

231 = 31×71×111

Prime Factorization of 237


3 237
79 79
1

Prime factors of 237 are 3,79. Prime factorization of 237 in exponential form is:

237 = 31×791

∴ So by taking common prime factors GCF of 231 and 237 is 3

Greatest Common Factor of 231 and 237 by matching factors method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Greatest Common Factor

We found the factors and prime factorization of 231 and 237. The biggest common factor number is the GCF number.
So the greatest common factor 231 and 237 is 3.

Also check out the Least Common Multiple of 231 and 237

Properties of GCF 231 and 237

(i) The GCF of 231 and 237 is associative

GCF of 231 and 237 = GCF of 237 and 231

Related Greatest Common Factor of 231

Related Greatest Common Factor of 237

Frequently Asked Questions on GCF of 231 and 237

1. What is the GCF of 231 and 237?

Answer: GCF of 231 and 237 is 3.

2. What are the Factors of 231?

Answer: Factors of 231 are 1, 3, 7, 11, 21, 33, 77, 231. There are 8 integers that are factors of 231. The greatest factor of 231 is 231.

3. What are the Factors of 237?

Answer: Factors of 237 are 1, 3, 79, 237. There are 4 integers that are factors of 237. The greatest factor of 237 is 237.

4. How to Find the GCF of 231 and 237?

Answer:

Greatest Common Factor of 231 and 237 = 3

Step 1: Find the prime factorization of 231

231 = 3 x 7 x 11

Step 2: Find the prime factorization of 237

237 = 3 x 79

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 231 and 237 is 3