Greatest Common Factor of 4234 and 4239

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 4234, 4239 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4234 and 4239 is 1.

GCF(4234,4239) = 1

GCF of 4234 and 4239

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

GCF of:
and

Greatest Common Factor of 4234 and 4239

GCF of 4234 and 4239 is 1

Prime Factorization of 4234


2 4234
29 2117
73 73
1

Prime factors of 4234 are 2,29,73. Prime factorization of 4234 in exponential form is:

4234 = 21×291×731

Prime Factorization of 4239


3 4239
3 1413
3 471
157 157
1

Prime factors of 4239 are 3,157. Prime factorization of 4239 in exponential form is:

4239 = 33×1571

∴ So by taking common prime factors GCF of 4234 and 4239 is 1

Greatest Common Factor of 4234 and 4239 by matching factors method

Factors of 4234

List of positive integer factors of 4234 that divides 4234 without a remainder.

1,2,29,58,73,146,2117,4234

Factors of 4239

List of positive integer factors of 4239 that divides 4239 without a remainder.

1,3,9,27,157,471,1413,4239

Greatest Common Factor

We found the factors and prime factorization of 4234 and 4239. The biggest common factor number is the GCF number.
So the greatest common factor 4234 and 4239 is 1.

Also check out the Least Common Multiple of 4234 and 4239

Properties of GCF 4234 and 4239

(i) The GCF of 4234 and 4239 is associative

GCF of 4234 and 4239 = GCF of 4239 and 4234

Frequently Asked Questions on GCF of 4234 and 4239

1. What is the GCF of 4234 and 4239?

Answer: GCF of 4234 and 4239 is 1.

2. What are the Factors of 4234?

Answer: Factors of 4234 are 1, 2, 29, 58, 73, 146, 2117, 4234. There are 8 integers that are factors of 4234. The greatest factor of 4234 is 4234.

3. What are the Factors of 4239?

Answer: Factors of 4239 are 1, 3, 9, 27, 157, 471, 1413, 4239. There are 8 integers that are factors of 4239. The greatest factor of 4239 is 4239.

4. How to Find the GCF of 4234 and 4239?

Answer:

Greatest Common Factor of 4234 and 4239 = 1

Step 1: Find the prime factorization of 4234

4234 = 2 x 29 x 73

Step 2: Find the prime factorization of 4239

4239 = 3 x 3 x 3 x 157

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 4234 and 4239 is 1