What is the Greatest Common Factor of 32816 and 32831?

Greatest common factor (GCF) of 32816 and 32831 is 1.

GCF(32816,32831) = 1

We will now calculate the prime factors of 32816 and 32831, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32816 and 32831.

How to find the GCF of 32816 and 32831?

We will first find the prime factorization of 32816 and 32831. After we will calculate the factors of 32816 and 32831 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 32831

Prime factors of 32831 are 32831. Prime factorization of 32831 in exponential form is:

32831 = 32831¹

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 32831

List of positive integer factors of 32831 that divides 32816 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32816 and 32831. The biggest common factor number is the GCF number.
So the greatest common factor 32816 and 32831 is 1.

Also check out the Least Common Multiple of 32816 and 32831