What is the Greatest Common Factor of 16764 and 16776?

Greatest common factor (GCF) of 16764 and 16776 is 12.

GCF(16764,16776) = 12

We will now calculate the prime factors of 16764 and 16776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16764 and 16776.

How to find the GCF of 16764 and 16776?

We will first find the prime factorization of 16764 and 16776. After we will calculate the factors of 16764 and 16776 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 16776

Prime factors of 16776 are 2, 3, 233. Prime factorization of 16776 in exponential form is:

16776 = 2³ × 3² × 233¹

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 16776

List of positive integer factors of 16776 that divides 16764 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 4194, 5592, 8388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16764 and 16776. The biggest common factor number is the GCF number.
So the greatest common factor 16764 and 16776 is 12.

Also check out the Least Common Multiple of 16764 and 16776