Greatest Common Factor of 4230 and 4233

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, 4233 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4230 and 4233 is 3.

GCF(4230,4233) = 3

GCF of 4230 and 4233

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

GCF of:
and

Greatest Common Factor of 4230 and 4233

GCF of 4230 and 4233 is 3

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 4233


3 4233
17 1411
83 83
1

Prime factors of 4233 are 3,17,83. Prime factorization of 4233 in exponential form is:

4233 = 31×171×831

∴ So by taking common prime factors GCF of 4230 and 4233 is 3

Greatest Common Factor of 4230 and 4233 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 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1,3,17,51,83,249,1411,4233

Greatest Common Factor

We found the factors and prime factorization of 4230 and 4233. The biggest common factor number is the GCF number.
So the greatest common factor 4230 and 4233 is 3.

Also check out the Least Common Multiple of 4230 and 4233

Properties of GCF 4230 and 4233

(i) The GCF of 4230 and 4233 is associative

GCF of 4230 and 4233 = GCF of 4233 and 4230

Related Greatest Common Factor of 4230

Related Greatest Common Factor of 4233

Frequently Asked Questions on GCF of 4230 and 4233

1. What is the GCF of 4230 and 4233?

Answer: GCF of 4230 and 4233 is 3.

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 4233?

Answer: Factors of 4233 are 1, 3, 17, 51, 83, 249, 1411, 4233. There are 8 integers that are factors of 4233. The greatest factor of 4233 is 4233.

4. How to Find the GCF of 4230 and 4233?

Answer:

Greatest Common Factor of 4230 and 4233 = 3

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 4233

4233 = 3 x 17 x 83

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 4230 and 4233 is 3