What is the Greatest Common Factor of 32792 and 32804?

Greatest common factor (GCF) of 32792 and 32804 is 4.

GCF(32792,32804) = 4

We will now calculate the prime factors of 32792 and 32804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32792 and 32804.

How to find the GCF of 32792 and 32804?

We will first find the prime factorization of 32792 and 32804. After we will calculate the factors of 32792 and 32804 and find the biggest common factor number .

Step-1: Prime Factorization of 32792

Prime factors of 32792 are 2, 4099. Prime factorization of 32792 in exponential form is:

32792 = 2³ × 4099¹

Step-2: Prime Factorization of 32804

Prime factors of 32804 are 2, 59, 139. Prime factorization of 32804 in exponential form is:

32804 = 2² × 59¹ × 139¹

Step-3: Factors of 32792

List of positive integer factors of 32792 that divides 32792 without a remainder.

1, 2, 4, 8, 4099, 8198, 16396

Step-4: Factors of 32804

List of positive integer factors of 32804 that divides 32792 without a remainder.

1, 2, 4, 59, 118, 139, 236, 278, 556, 8201, 16402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32792 and 32804. The biggest common factor number is the GCF number.
So the greatest common factor 32792 and 32804 is 4.

Also check out the Least Common Multiple of 32792 and 32804