What is the Greatest Common Factor of 32664 and 32680?

Greatest common factor (GCF) of 32664 and 32680 is 8.

GCF(32664,32680) = 8

We will now calculate the prime factors of 32664 and 32680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32664 and 32680.

How to find the GCF of 32664 and 32680?

We will first find the prime factorization of 32664 and 32680. After we will calculate the factors of 32664 and 32680 and find the biggest common factor number .

Step-1: Prime Factorization of 32664

Prime factors of 32664 are 2, 3, 1361. Prime factorization of 32664 in exponential form is:

32664 = 2³ × 3¹ × 1361¹

Step-2: Prime Factorization of 32680

Prime factors of 32680 are 2, 5, 19, 43. Prime factorization of 32680 in exponential form is:

32680 = 2³ × 5¹ × 19¹ × 43¹

Step-3: Factors of 32664

List of positive integer factors of 32664 that divides 32664 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1361, 2722, 4083, 5444, 8166, 10888, 16332

Step-4: Factors of 32680

List of positive integer factors of 32680 that divides 32664 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 43, 76, 86, 95, 152, 172, 190, 215, 344, 380, 430, 760, 817, 860, 1634, 1720, 3268, 4085, 6536, 8170, 16340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32664 and 32680. The biggest common factor number is the GCF number.
So the greatest common factor 32664 and 32680 is 8.

Also check out the Least Common Multiple of 32664 and 32680