Greatest Common Factor of 1290 and 1293

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 1290, 1293 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1290 and 1293 is 3.

GCF(1290,1293) = 3

GCF of 1290 and 1293

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

GCF of:
and

Greatest Common Factor of 1290 and 1293

GCF of 1290 and 1293 is 3

Prime Factorization of 1290


2 1290
3 645
5 215
43 43
1

Prime factors of 1290 are 2,3,5,43. Prime factorization of 1290 in exponential form is:

1290 = 21×31×51×431

Prime Factorization of 1293


3 1293
431 431
1

Prime factors of 1293 are 3,431. Prime factorization of 1293 in exponential form is:

1293 = 31×4311

∴ So by taking common prime factors GCF of 1290 and 1293 is 3

Greatest Common Factor of 1290 and 1293 by matching factors method

Factors of 1290

List of positive integer factors of 1290 that divides 1290 without a remainder.

1,2,3,5,6,10,15,30,43,86,129,215,258,430,645,1290

Factors of 1293

List of positive integer factors of 1293 that divides 1293 without a remainder.

1,3,431,1293

Greatest Common Factor

We found the factors and prime factorization of 1290 and 1293. The biggest common factor number is the GCF number.
So the greatest common factor 1290 and 1293 is 3.

Also check out the Least Common Multiple of 1290 and 1293

Properties of GCF 1290 and 1293

(i) The GCF of 1290 and 1293 is associative

GCF of 1290 and 1293 = GCF of 1293 and 1290

Related Greatest Common Factor of 1290

Related Greatest Common Factor of 1293

Frequently Asked Questions on GCF of 1290 and 1293

1. What is the GCF of 1290 and 1293?

Answer: GCF of 1290 and 1293 is 3.

2. What are the Factors of 1290?

Answer: Factors of 1290 are 1, 2, 3, 5, 6, 10, 15, 30, 43, 86, 129, 215, 258, 430, 645, 1290. There are 16 integers that are factors of 1290. The greatest factor of 1290 is 1290.

3. What are the Factors of 1293?

Answer: Factors of 1293 are 1, 3, 431, 1293. There are 4 integers that are factors of 1293. The greatest factor of 1293 is 1293.

4. How to Find the GCF of 1290 and 1293?

Answer:

Greatest Common Factor of 1290 and 1293 = 3

Step 1: Find the prime factorization of 1290

1290 = 2 x 3 x 5 x 43

Step 2: Find the prime factorization of 1293

1293 = 3 x 431

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 1290 and 1293 is 3