What is the Greatest Common Factor of 28366 and 28382?

Greatest common factor (GCF) of 28366 and 28382 is 2.

GCF(28366,28382) = 2

We will now calculate the prime factors of 28366 and 28382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28366 and 28382.

How to find the GCF of 28366 and 28382?

We will first find the prime factorization of 28366 and 28382. After we will calculate the factors of 28366 and 28382 and find the biggest common factor number .

Step-1: Prime Factorization of 28366

Prime factors of 28366 are 2, 13, 1091. Prime factorization of 28366 in exponential form is:

28366 = 2¹ × 13¹ × 1091¹

Step-2: Prime Factorization of 28382

Prime factors of 28382 are 2, 23, 617. Prime factorization of 28382 in exponential form is:

28382 = 2¹ × 23¹ × 617¹

Step-3: Factors of 28366

List of positive integer factors of 28366 that divides 28366 without a remainder.

1, 2, 13, 26, 1091, 2182, 14183

Step-4: Factors of 28382

List of positive integer factors of 28382 that divides 28366 without a remainder.

1, 2, 23, 46, 617, 1234, 14191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28366 and 28382. The biggest common factor number is the GCF number.
So the greatest common factor 28366 and 28382 is 2.

Also check out the Least Common Multiple of 28366 and 28382