Greatest Common Factor of 4290 and 4293

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 4290, 4293 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4290 and 4293 is 3.

GCF(4290,4293) = 3

GCF of 4290 and 4293

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

GCF of:
and

Greatest Common Factor of 4290 and 4293

GCF of 4290 and 4293 is 3

Prime Factorization of 4290


2 4290
3 2145
5 715
11 143
13 13
1

Prime factors of 4290 are 2,3,5,11,13. Prime factorization of 4290 in exponential form is:

4290 = 21×31×51×111×131

Prime Factorization of 4293


3 4293
3 1431
3 477
3 159
53 53
1

Prime factors of 4293 are 3,53. Prime factorization of 4293 in exponential form is:

4293 = 34×531

∴ So by taking common prime factors GCF of 4290 and 4293 is 3

Greatest Common Factor of 4290 and 4293 by matching factors method

Factors of 4290

List of positive integer factors of 4290 that divides 4290 without a remainder.

1,2,3,5,6,10,11,13,15,22,26,30,33,39,55,65,66,78,110,130,143,165,195,286,330,390,429,715,858,1430,2145,4290

Factors of 4293

List of positive integer factors of 4293 that divides 4293 without a remainder.

1,3,9,27,53,81,159,477,1431,4293

Greatest Common Factor

We found the factors and prime factorization of 4290 and 4293. The biggest common factor number is the GCF number.
So the greatest common factor 4290 and 4293 is 3.

Also check out the Least Common Multiple of 4290 and 4293

Properties of GCF 4290 and 4293

(i) The GCF of 4290 and 4293 is associative

GCF of 4290 and 4293 = GCF of 4293 and 4290

Related Greatest Common Factor of 4290

Related Greatest Common Factor of 4293

Frequently Asked Questions on GCF of 4290 and 4293

1. What is the GCF of 4290 and 4293?

Answer: GCF of 4290 and 4293 is 3.

2. What are the Factors of 4290?

Answer: Factors of 4290 are 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 195, 286, 330, 390, 429, 715, 858, 1430, 2145, 4290. There are 32 integers that are factors of 4290. The greatest factor of 4290 is 4290.

3. What are the Factors of 4293?

Answer: Factors of 4293 are 1, 3, 9, 27, 53, 81, 159, 477, 1431, 4293. There are 10 integers that are factors of 4293. The greatest factor of 4293 is 4293.

4. How to Find the GCF of 4290 and 4293?

Answer:

Greatest Common Factor of 4290 and 4293 = 3

Step 1: Find the prime factorization of 4290

4290 = 2 x 3 x 5 x 11 x 13

Step 2: Find the prime factorization of 4293

4293 = 3 x 3 x 3 x 3 x 53

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 4290 and 4293 is 3