Greatest Common Factor of 4230 and 4231

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 4230, 4231 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4230 and 4231 is 1.

GCF(4230,4231) = 1

GCF of 4230 and 4231

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

GCF of:
and

Greatest Common Factor of 4230 and 4231

GCF of 4230 and 4231 is 1

Prime Factorization of 4230


2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 4230 are 2,3,5,47. Prime factorization of 4230 in exponential form is:

4230 = 21×32×51×471

Prime Factorization of 4231


4231 4231
1

Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:

4231 = 42311

∴ So by taking common prime factors GCF of 4230 and 4231 is 1

Greatest Common Factor of 4230 and 4231 by matching factors method

Factors of 4230

List of positive integer factors of 4230 that divides 4230 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,47,90,94,141,235,282,423,470,705,846,1410,2115,4230

Factors of 4231

List of positive integer factors of 4231 that divides 4231 without a remainder.

1,4231

Greatest Common Factor

We found the factors and prime factorization of 4230 and 4231. The biggest common factor number is the GCF number.
So the greatest common factor 4230 and 4231 is 1.

Also check out the Least Common Multiple of 4230 and 4231

Properties of GCF 4230 and 4231

(i) The GCF of 4230 and 4231 is associative

GCF of 4230 and 4231 = GCF of 4231 and 4230

Frequently Asked Questions on GCF of 4230 and 4231

1. What is the GCF of 4230 and 4231?

Answer: GCF of 4230 and 4231 is 1.

2. What are the Factors of 4230?

Answer: Factors of 4230 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 47, 90, 94, 141, 235, 282, 423, 470, 705, 846, 1410, 2115, 4230. There are 24 integers that are factors of 4230. The greatest factor of 4230 is 4230.

3. What are the Factors of 4231?

Answer: Factors of 4231 are 1, 4231. There are 2 integers that are factors of 4231. The greatest factor of 4231 is 4231.

4. How to Find the GCF of 4230 and 4231?

Answer:

Greatest Common Factor of 4230 and 4231 = 1

Step 1: Find the prime factorization of 4230

4230 = 2 x 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 4231

4231 = 4231

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4230 and 4231 is 1