What is the Greatest Common Factor of 32808 and 32824?

Greatest common factor (GCF) of 32808 and 32824 is 8.

GCF(32808,32824) = 8

We will now calculate the prime factors of 32808 and 32824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32808 and 32824.

How to find the GCF of 32808 and 32824?

We will first find the prime factorization of 32808 and 32824. After we will calculate the factors of 32808 and 32824 and find the biggest common factor number .

Step-1: Prime Factorization of 32808

Prime factors of 32808 are 2, 3, 1367. Prime factorization of 32808 in exponential form is:

32808 = 2³ × 3¹ × 1367¹

Step-2: Prime Factorization of 32824

Prime factors of 32824 are 2, 11, 373. Prime factorization of 32824 in exponential form is:

32824 = 2³ × 11¹ × 373¹

Step-3: Factors of 32808

List of positive integer factors of 32808 that divides 32808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1367, 2734, 4101, 5468, 8202, 10936, 16404

Step-4: Factors of 32824

List of positive integer factors of 32824 that divides 32808 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 373, 746, 1492, 2984, 4103, 8206, 16412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32808 and 32824. The biggest common factor number is the GCF number.
So the greatest common factor 32808 and 32824 is 8.

Also check out the Least Common Multiple of 32808 and 32824