What is the Greatest Common Factor of 28342 and 28360?

Greatest common factor (GCF) of 28342 and 28360 is 2.

GCF(28342,28360) = 2

We will now calculate the prime factors of 28342 and 28360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28342 and 28360.

How to find the GCF of 28342 and 28360?

We will first find the prime factorization of 28342 and 28360. After we will calculate the factors of 28342 and 28360 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28360

Prime factors of 28360 are 2, 5, 709. Prime factorization of 28360 in exponential form is:

28360 = 2³ × 5¹ × 709¹

Step-3: Factors of 28342

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

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

Step-4: Factors of 28360

List of positive integer factors of 28360 that divides 28342 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 709, 1418, 2836, 3545, 5672, 7090, 14180

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28342 and 28360. The biggest common factor number is the GCF number.
So the greatest common factor 28342 and 28360 is 2.

Also check out the Least Common Multiple of 28342 and 28360