Greatest Common Factor of 1642 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 1642, 1650 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1642 and 1650 is 2.

GCF(1642,1650) = 2

GCF of 1642 and 1650

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

GCF of:
and

Greatest Common Factor of 1642 and 1650

GCF of 1642 and 1650 is 2

Prime Factorization of 1642


2 1642
821 821
1

Prime factors of 1642 are 2,821. Prime factorization of 1642 in exponential form is:

1642 = 21×8211

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 1642 and 1650 is 2

Greatest Common Factor of 1642 and 1650 by matching factors method

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

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 1642 and 1650. The biggest common factor number is the GCF number.
So the greatest common factor 1642 and 1650 is 2.

Also check out the Least Common Multiple of 1642 and 1650

Properties of GCF 1642 and 1650

(i) The GCF of 1642 and 1650 is associative

GCF of 1642 and 1650 = GCF of 1650 and 1642

Related Greatest Common Factor of 1642

Related Greatest Common Factor of 1650

Frequently Asked Questions on GCF of 1642 and 1650

1. What is the GCF of 1642 and 1650?

Answer: GCF of 1642 and 1650 is 2.

2. What are the Factors of 1642?

Answer: Factors of 1642 are 1, 2, 821, 1642. There are 4 integers that are factors of 1642. The greatest factor of 1642 is 1642.

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 1642 and 1650?

Answer:

Greatest Common Factor of 1642 and 1650 = 2

Step 1: Find the prime factorization of 1642

1642 = 2 x 821

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 = 2

Step 4: Therefore, the greatest common factor of 1642 and 1650 is 2