What is the Greatest Common Factor of 32670 and 32688?

Greatest common factor (GCF) of 32670 and 32688 is 18.

GCF(32670,32688) = 18

We will now calculate the prime factors of 32670 and 32688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32670 and 32688.

How to find the GCF of 32670 and 32688?

We will first find the prime factorization of 32670 and 32688. After we will calculate the factors of 32670 and 32688 and find the biggest common factor number .

Step-1: Prime Factorization of 32670

Prime factors of 32670 are 2, 3, 5, 11. Prime factorization of 32670 in exponential form is:

32670 = 2¹ × 3³ × 5¹ × 11²

Step-2: Prime Factorization of 32688

Prime factors of 32688 are 2, 3, 227. Prime factorization of 32688 in exponential form is:

32688 = 2⁴ × 3² × 227¹

Step-3: Factors of 32670

List of positive integer factors of 32670 that divides 32670 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 121, 135, 165, 198, 242, 270, 297, 330, 363, 495, 594, 605, 726, 990, 1089, 1210, 1485, 1815, 2178, 2970, 3267, 3630, 5445, 6534, 10890, 16335

Step-4: Factors of 32688

List of positive integer factors of 32688 that divides 32670 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 227, 454, 681, 908, 1362, 1816, 2043, 2724, 3632, 4086, 5448, 8172, 10896, 16344

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32670 and 32688. The biggest common factor number is the GCF number.
So the greatest common factor 32670 and 32688 is 18.

Also check out the Least Common Multiple of 32670 and 32688