Greatest Common Factor of 230 and 235

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 230, 235 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 230 and 235 is 5.

GCF(230,235) = 5

GCF of 230 and 235

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

GCF of:
and

Greatest Common Factor of 230 and 235

GCF of 230 and 235 is 5

Prime Factorization of 230


2 230
5 115
23 23
1

Prime factors of 230 are 2,5,23. Prime factorization of 230 in exponential form is:

230 = 21×51×231

Prime Factorization of 235


5 235
47 47
1

Prime factors of 235 are 5,47. Prime factorization of 235 in exponential form is:

235 = 51×471

∴ So by taking common prime factors GCF of 230 and 235 is 5

Greatest Common Factor of 230 and 235 by matching factors method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors and prime factorization of 230 and 235. The biggest common factor number is the GCF number.
So the greatest common factor 230 and 235 is 5.

Also check out the Least Common Multiple of 230 and 235

Properties of GCF 230 and 235

(i) The GCF of 230 and 235 is associative

GCF of 230 and 235 = GCF of 235 and 230

Related Greatest Common Factor of 230

Related Greatest Common Factor of 235

Frequently Asked Questions on GCF of 230 and 235

1. What is the GCF of 230 and 235?

Answer: GCF of 230 and 235 is 5.

2. What are the Factors of 230?

Answer: Factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230. There are 8 integers that are factors of 230. The greatest factor of 230 is 230.

3. What are the Factors of 235?

Answer: Factors of 235 are 1, 5, 47, 235. There are 4 integers that are factors of 235. The greatest factor of 235 is 235.

4. How to Find the GCF of 230 and 235?

Answer:

Greatest Common Factor of 230 and 235 = 5

Step 1: Find the prime factorization of 230

230 = 2 x 5 x 23

Step 2: Find the prime factorization of 235

235 = 5 x 47

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 230 and 235 is 5