What is the Greatest Common Factor of 32784 and 32801?

Greatest common factor (GCF) of 32784 and 32801 is 1.

GCF(32784,32801) = 1

We will now calculate the prime factors of 32784 and 32801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32784 and 32801.

How to find the GCF of 32784 and 32801?

We will first find the prime factorization of 32784 and 32801. After we will calculate the factors of 32784 and 32801 and find the biggest common factor number .

Step-1: Prime Factorization of 32784

Prime factors of 32784 are 2, 3, 683. Prime factorization of 32784 in exponential form is:

32784 = 2⁴ × 3¹ × 683¹

Step-2: Prime Factorization of 32801

Prime factors of 32801 are 32801. Prime factorization of 32801 in exponential form is:

32801 = 32801¹

Step-3: Factors of 32784

List of positive integer factors of 32784 that divides 32784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 683, 1366, 2049, 2732, 4098, 5464, 8196, 10928, 16392

Step-4: Factors of 32801

List of positive integer factors of 32801 that divides 32784 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32784 and 32801. The biggest common factor number is the GCF number.
So the greatest common factor 32784 and 32801 is 1.

Also check out the Least Common Multiple of 32784 and 32801