Greatest Common Factor of 4239 and 4245

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 4239, 4245 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4239 and 4245 is 3.

GCF(4239,4245) = 3

GCF of 4239 and 4245

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

GCF of:
and

Greatest Common Factor of 4239 and 4245

GCF of 4239 and 4245 is 3

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

Prime Factorization of 4245


3 4245
5 1415
283 283
1

Prime factors of 4245 are 3,5,283. Prime factorization of 4245 in exponential form is:

4245 = 31×51×2831

∴ So by taking common prime factors GCF of 4239 and 4245 is 3

Greatest Common Factor of 4239 and 4245 by matching factors method

Factors of 4239

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

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

Factors of 4245

List of positive integer factors of 4245 that divides 4245 without a remainder.

1,3,5,15,283,849,1415,4245

Greatest Common Factor

We found the factors and prime factorization of 4239 and 4245. The biggest common factor number is the GCF number.
So the greatest common factor 4239 and 4245 is 3.

Also check out the Least Common Multiple of 4239 and 4245

Properties of GCF 4239 and 4245

(i) The GCF of 4239 and 4245 is associative

GCF of 4239 and 4245 = GCF of 4245 and 4239

Frequently Asked Questions on GCF of 4239 and 4245

1. What is the GCF of 4239 and 4245?

Answer: GCF of 4239 and 4245 is 3.

2. 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.

3. What are the Factors of 4245?

Answer: Factors of 4245 are 1, 3, 5, 15, 283, 849, 1415, 4245. There are 8 integers that are factors of 4245. The greatest factor of 4245 is 4245.

4. How to Find the GCF of 4239 and 4245?

Answer:

Greatest Common Factor of 4239 and 4245 = 3

Step 1: Find the prime factorization of 4239

4239 = 3 x 3 x 3 x 157

Step 2: Find the prime factorization of 4245

4245 = 3 x 5 x 283

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 4239 and 4245 is 3