What is the Greatest Common Factor of 1632 and 1650?

Greatest common factor (GCF) of 1632 and 1650 is 6.

GCF(1632,1650) = 6

We will now calculate the prime factors of 1632 and 1650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1632 and 1650.

How to find the GCF of 1632 and 1650?

We will first find the prime factorization of 1632 and 1650. After we will calculate the factors of 1632 and 1650 and find the biggest common factor number .

Step-1: Prime Factorization of 1632

Prime factors of 1632 are 2, 3, 17. Prime factorization of 1632 in exponential form is:

1632 = 2⁵ × 3¹ × 17¹

Step-2: Prime Factorization of 1650

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

1650 = 2¹ × 3¹ × 5² × 11¹

Step-3: Factors of 1632

List of positive integer factors of 1632 that divides 1632 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816

Step-4: Factors of 1650

List of positive integer factors of 1650 that divides 1632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1632 and 1650. The biggest common factor number is the GCF number.
So the greatest common factor 1632 and 1650 is 6.

Also check out the Least Common Multiple of 1632 and 1650