What is the Greatest Common Factor of 32788 and 32808?

Greatest common factor (GCF) of 32788 and 32808 is 4.

GCF(32788,32808) = 4

We will now calculate the prime factors of 32788 and 32808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32788 and 32808.

How to find the GCF of 32788 and 32808?

We will first find the prime factorization of 32788 and 32808. After we will calculate the factors of 32788 and 32808 and find the biggest common factor number .

Step-1: Prime Factorization of 32788

Prime factors of 32788 are 2, 7, 1171. Prime factorization of 32788 in exponential form is:

32788 = 2² × 7¹ × 1171¹

Step-2: 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-3: Factors of 32788

List of positive integer factors of 32788 that divides 32788 without a remainder.

1, 2, 4, 7, 14, 28, 1171, 2342, 4684, 8197, 16394

Step-4: Factors of 32808

List of positive integer factors of 32808 that divides 32788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32788 and 32808. The biggest common factor number is the GCF number.
So the greatest common factor 32788 and 32808 is 4.

Also check out the Least Common Multiple of 32788 and 32808