What is the Greatest Common Factor of 28338 and 28342?

Greatest common factor (GCF) of 28338 and 28342 is 2.

GCF(28338,28342) = 2

We will now calculate the prime factors of 28338 and 28342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28338 and 28342.

How to find the GCF of 28338 and 28342?

We will first find the prime factorization of 28338 and 28342. After we will calculate the factors of 28338 and 28342 and find the biggest common factor number .

Step-1: Prime Factorization of 28338

Prime factors of 28338 are 2, 3, 4723. Prime factorization of 28338 in exponential form is:

28338 = 2¹ × 3¹ × 4723¹

Step-2: Prime Factorization of 28342

Prime factors of 28342 are 2, 37, 383. Prime factorization of 28342 in exponential form is:

28342 = 2¹ × 37¹ × 383¹

Step-3: Factors of 28338

List of positive integer factors of 28338 that divides 28338 without a remainder.

1, 2, 3, 6, 4723, 9446, 14169

Step-4: Factors of 28342

List of positive integer factors of 28342 that divides 28338 without a remainder.

1, 2, 37, 74, 383, 766, 14171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28338 and 28342. The biggest common factor number is the GCF number.
So the greatest common factor 28338 and 28342 is 2.

Also check out the Least Common Multiple of 28338 and 28342