Greatest Common Factor of 4233 and 4238

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 4233, 4238 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4233 and 4238 is 1.

GCF(4233,4238) = 1

GCF of 4233 and 4238

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

GCF of:
and

Greatest Common Factor of 4233 and 4238

GCF of 4233 and 4238 is 1

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

Prime Factorization of 4238


2 4238
13 2119
163 163
1

Prime factors of 4238 are 2,13,163. Prime factorization of 4238 in exponential form is:

4238 = 21×131×1631

∴ So by taking common prime factors GCF of 4233 and 4238 is 1

Greatest Common Factor of 4233 and 4238 by matching factors method

Factors of 4233

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

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

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Greatest Common Factor

We found the factors and prime factorization of 4233 and 4238. The biggest common factor number is the GCF number.
So the greatest common factor 4233 and 4238 is 1.

Also check out the Least Common Multiple of 4233 and 4238

Properties of GCF 4233 and 4238

(i) The GCF of 4233 and 4238 is associative

GCF of 4233 and 4238 = GCF of 4238 and 4233

Frequently Asked Questions on GCF of 4233 and 4238

1. What is the GCF of 4233 and 4238?

Answer: GCF of 4233 and 4238 is 1.

2. 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.

3. What are the Factors of 4238?

Answer: Factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238. There are 8 integers that are factors of 4238. The greatest factor of 4238 is 4238.

4. How to Find the GCF of 4233 and 4238?

Answer:

Greatest Common Factor of 4233 and 4238 = 1

Step 1: Find the prime factorization of 4233

4233 = 3 x 17 x 83

Step 2: Find the prime factorization of 4238

4238 = 2 x 13 x 163

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 4233 and 4238 is 1