Greatest Common Factor of 1650 and 1658

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 1650, 1658 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1650 and 1658 is 2.

GCF(1650,1658) = 2

GCF of 1650 and 1658

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

GCF of:
and

Greatest Common Factor of 1650 and 1658

GCF of 1650 and 1658 is 2

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

Prime Factorization of 1658


2 1658
829 829
1

Prime factors of 1658 are 2,829. Prime factorization of 1658 in exponential form is:

1658 = 21×8291

∴ So by taking common prime factors GCF of 1650 and 1658 is 2

Greatest Common Factor of 1650 and 1658 by matching factors method

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

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1,2,829,1658

Greatest Common Factor

We found the factors and prime factorization of 1650 and 1658. The biggest common factor number is the GCF number.
So the greatest common factor 1650 and 1658 is 2.

Also check out the Least Common Multiple of 1650 and 1658

Properties of GCF 1650 and 1658

(i) The GCF of 1650 and 1658 is associative

GCF of 1650 and 1658 = GCF of 1658 and 1650

Related Greatest Common Factor of 1650

Related Greatest Common Factor of 1658

Frequently Asked Questions on GCF of 1650 and 1658

1. What is the GCF of 1650 and 1658?

Answer: GCF of 1650 and 1658 is 2.

2. 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.

3. What are the Factors of 1658?

Answer: Factors of 1658 are 1, 2, 829, 1658. There are 4 integers that are factors of 1658. The greatest factor of 1658 is 1658.

4. How to Find the GCF of 1650 and 1658?

Answer:

Greatest Common Factor of 1650 and 1658 = 2

Step 1: Find the prime factorization of 1650

1650 = 2 x 3 x 5 x 5 x 11

Step 2: Find the prime factorization of 1658

1658 = 2 x 829

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 1650 and 1658 is 2