What is the Greatest Common Factor of 28340 and 28360?

Greatest common factor (GCF) of 28340 and 28360 is 20.

GCF(28340,28360) = 20

We will now calculate the prime factors of 28340 and 28360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28360.

How to find the GCF of 28340 and 28360?

We will first find the prime factorization of 28340 and 28360. After we will calculate the factors of 28340 and 28360 and find the biggest common factor number .

Step-1: Prime Factorization of 28340

Prime factors of 28340 are 2, 5, 13, 109. Prime factorization of 28340 in exponential form is:

28340 = 2² × 5¹ × 13¹ × 109¹

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 28340

List of positive integer factors of 28340 that divides 28340 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 109, 130, 218, 260, 436, 545, 1090, 1417, 2180, 2834, 5668, 7085, 14170

Step-4: Factors of 28360

List of positive integer factors of 28360 that divides 28340 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 28340 and 28360. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28360 is 20.

Also check out the Least Common Multiple of 28340 and 28360