Greatest Common Factor of 1643 and 1650

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 1643, 1650 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1643 and 1650 is 1.

GCF(1643,1650) = 1

GCF of 1643 and 1650

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

GCF of:
and

Greatest Common Factor of 1643 and 1650

GCF of 1643 and 1650 is 1

Prime Factorization of 1643


31 1643
53 53
1

Prime factors of 1643 are 31,53. Prime factorization of 1643 in exponential form is:

1643 = 311×531

Prime Factorization of 1650


2 1650
3 825
5 275
5 55
11 11
1

Prime factors of 1650 are 2,3,5,11. Prime factorization of 1650 in exponential form is:

1650 = 21×31×52×111

∴ So by taking common prime factors GCF of 1643 and 1650 is 1

Greatest Common Factor of 1643 and 1650 by matching factors method

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1,31,53,1643

Factors of 1650

List of positive integer factors of 1650 that divides 1650 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650

Greatest Common Factor

We found the factors and prime factorization of 1643 and 1650. The biggest common factor number is the GCF number.
So the greatest common factor 1643 and 1650 is 1.

Also check out the Least Common Multiple of 1643 and 1650

Properties of GCF 1643 and 1650

(i) The GCF of 1643 and 1650 is associative

GCF of 1643 and 1650 = GCF of 1650 and 1643

Related Greatest Common Factor of 1643

Related Greatest Common Factor of 1650

Frequently Asked Questions on GCF of 1643 and 1650

1. What is the GCF of 1643 and 1650?

Answer: GCF of 1643 and 1650 is 1.

2. What are the Factors of 1643?

Answer: Factors of 1643 are 1, 31, 53, 1643. There are 4 integers that are factors of 1643. The greatest factor of 1643 is 1643.

3. What are the Factors of 1650?

Answer: Factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650. There are 24 integers that are factors of 1650. The greatest factor of 1650 is 1650.

4. How to Find the GCF of 1643 and 1650?

Answer:

Greatest Common Factor of 1643 and 1650 = 1

Step 1: Find the prime factorization of 1643

1643 = 31 x 53

Step 2: Find the prime factorization of 1650

1650 = 2 x 3 x 5 x 5 x 11

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 1643 and 1650 is 1