What is the Greatest Common Factor of 28752 and 28766?

Greatest common factor (GCF) of 28752 and 28766 is 2.

GCF(28752,28766) = 2

We will now calculate the prime factors of 28752 and 28766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28752 and 28766.

How to find the GCF of 28752 and 28766?

We will first find the prime factorization of 28752 and 28766. After we will calculate the factors of 28752 and 28766 and find the biggest common factor number .

Step-1: Prime Factorization of 28752

Prime factors of 28752 are 2, 3, 599. Prime factorization of 28752 in exponential form is:

28752 = 2⁴ × 3¹ × 599¹

Step-2: Prime Factorization of 28766

Prime factors of 28766 are 2, 19, 757. Prime factorization of 28766 in exponential form is:

28766 = 2¹ × 19¹ × 757¹

Step-3: Factors of 28752

List of positive integer factors of 28752 that divides 28752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 599, 1198, 1797, 2396, 3594, 4792, 7188, 9584, 14376

Step-4: Factors of 28766

List of positive integer factors of 28766 that divides 28752 without a remainder.

1, 2, 19, 38, 757, 1514, 14383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28752 and 28766. The biggest common factor number is the GCF number.
So the greatest common factor 28752 and 28766 is 2.

Also check out the Least Common Multiple of 28752 and 28766