What is the Greatest Common Factor of 16752 and 16764?

Greatest common factor (GCF) of 16752 and 16764 is 12.

GCF(16752,16764) = 12

We will now calculate the prime factors of 16752 and 16764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16752 and 16764.

How to find the GCF of 16752 and 16764?

We will first find the prime factorization of 16752 and 16764. After we will calculate the factors of 16752 and 16764 and find the biggest common factor number .

Step-1: Prime Factorization of 16752

Prime factors of 16752 are 2, 3, 349. Prime factorization of 16752 in exponential form is:

16752 = 2⁴ × 3¹ × 349¹

Step-2: 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-3: Factors of 16752

List of positive integer factors of 16752 that divides 16752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 349, 698, 1047, 1396, 2094, 2792, 4188, 5584, 8376

Step-4: Factors of 16764

List of positive integer factors of 16764 that divides 16752 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16752 and 16764. The biggest common factor number is the GCF number.
So the greatest common factor 16752 and 16764 is 12.

Also check out the Least Common Multiple of 16752 and 16764