What is the Greatest Common Factor of 28766 and 28772?

Greatest common factor (GCF) of 28766 and 28772 is 2.

GCF(28766,28772) = 2

We will now calculate the prime factors of 28766 and 28772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28766 and 28772.

How to find the GCF of 28766 and 28772?

We will first find the prime factorization of 28766 and 28772. After we will calculate the factors of 28766 and 28772 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28772

Prime factors of 28772 are 2, 7193. Prime factorization of 28772 in exponential form is:

28772 = 2² × 7193¹

Step-3: Factors of 28766

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

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

Step-4: Factors of 28772

List of positive integer factors of 28772 that divides 28766 without a remainder.

1, 2, 4, 7193, 14386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28766 and 28772. The biggest common factor number is the GCF number.
So the greatest common factor 28766 and 28772 is 2.

Also check out the Least Common Multiple of 28766 and 28772