What is the Greatest Common Factor of 16764 and 16768?

Greatest common factor (GCF) of 16764 and 16768 is 4.

GCF(16764,16768) = 4

We will now calculate the prime factors of 16764 and 16768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16764 and 16768.

How to find the GCF of 16764 and 16768?

We will first find the prime factorization of 16764 and 16768. After we will calculate the factors of 16764 and 16768 and find the biggest common factor number .

Step-1: Prime Factorization of 16764

Prime factors of 16764 are 2, 3, 11, 127. Prime factorization of 16764 in exponential form is:

16764 = 2² × 3¹ × 11¹ × 127¹

Step-2: Prime Factorization of 16768

Prime factors of 16768 are 2, 131. Prime factorization of 16768 in exponential form is:

16768 = 2⁷ × 131¹

Step-3: Factors of 16764

List of positive integer factors of 16764 that divides 16764 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 127, 132, 254, 381, 508, 762, 1397, 1524, 2794, 4191, 5588, 8382

Step-4: Factors of 16768

List of positive integer factors of 16768 that divides 16764 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 262, 524, 1048, 2096, 4192, 8384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16764 and 16768. The biggest common factor number is the GCF number.
So the greatest common factor 16764 and 16768 is 4.

Also check out the Least Common Multiple of 16764 and 16768