What is the Greatest Common Factor of 32784 and 32796?

Greatest common factor (GCF) of 32784 and 32796 is 12.

GCF(32784,32796) = 12

We will now calculate the prime factors of 32784 and 32796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32784 and 32796.

How to find the GCF of 32784 and 32796?

We will first find the prime factorization of 32784 and 32796. After we will calculate the factors of 32784 and 32796 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 32796

Prime factors of 32796 are 2, 3, 911. Prime factorization of 32796 in exponential form is:

32796 = 2² × 3² × 911¹

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 32796

List of positive integer factors of 32796 that divides 32784 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 911, 1822, 2733, 3644, 5466, 8199, 10932, 16398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32784 and 32796. The biggest common factor number is the GCF number.
So the greatest common factor 32784 and 32796 is 12.

Also check out the Least Common Multiple of 32784 and 32796