What is the Greatest Common Factor of 32816 and 32828?

Greatest common factor (GCF) of 32816 and 32828 is 4.

GCF(32816,32828) = 4

We will now calculate the prime factors of 32816 and 32828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32816 and 32828.

How to find the GCF of 32816 and 32828?

We will first find the prime factorization of 32816 and 32828. After we will calculate the factors of 32816 and 32828 and find the biggest common factor number .

Step-1: Prime Factorization of 32816

Prime factors of 32816 are 2, 7, 293. Prime factorization of 32816 in exponential form is:

32816 = 2⁴ × 7¹ × 293¹

Step-2: Prime Factorization of 32828

Prime factors of 32828 are 2, 29, 283. Prime factorization of 32828 in exponential form is:

32828 = 2² × 29¹ × 283¹

Step-3: Factors of 32816

List of positive integer factors of 32816 that divides 32816 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 293, 586, 1172, 2051, 2344, 4102, 4688, 8204, 16408

Step-4: Factors of 32828

List of positive integer factors of 32828 that divides 32816 without a remainder.

1, 2, 4, 29, 58, 116, 283, 566, 1132, 8207, 16414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32816 and 32828. The biggest common factor number is the GCF number.
So the greatest common factor 32816 and 32828 is 4.

Also check out the Least Common Multiple of 32816 and 32828