Greatest Common Factor of 1650 and 1654

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, 1654 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1650 and 1654 is 2.

GCF(1650,1654) = 2

GCF of 1650 and 1654

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

GCF of:
and

Greatest Common Factor of 1650 and 1654

GCF of 1650 and 1654 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 1654


2 1654
827 827
1

Prime factors of 1654 are 2,827. Prime factorization of 1654 in exponential form is:

1654 = 21×8271

∴ So by taking common prime factors GCF of 1650 and 1654 is 2

Greatest Common Factor of 1650 and 1654 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 1654

List of positive integer factors of 1654 that divides 1654 without a remainder.

1,2,827,1654

Greatest Common Factor

We found the factors and prime factorization of 1650 and 1654. The biggest common factor number is the GCF number.
So the greatest common factor 1650 and 1654 is 2.

Also check out the Least Common Multiple of 1650 and 1654

Properties of GCF 1650 and 1654

(i) The GCF of 1650 and 1654 is associative

GCF of 1650 and 1654 = GCF of 1654 and 1650

Related Greatest Common Factor of 1650

Related Greatest Common Factor of 1654

Frequently Asked Questions on GCF of 1650 and 1654

1. What is the GCF of 1650 and 1654?

Answer: GCF of 1650 and 1654 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 1654?

Answer: Factors of 1654 are 1, 2, 827, 1654. There are 4 integers that are factors of 1654. The greatest factor of 1654 is 1654.

4. How to Find the GCF of 1650 and 1654?

Answer:

Greatest Common Factor of 1650 and 1654 = 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 1654

1654 = 2 x 827

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 1654 is 2