What is the Greatest Common Factor of 28340 and 28353?

Greatest common factor (GCF) of 28340 and 28353 is 13.

GCF(28340,28353) = 13

We will now calculate the prime factors of 28340 and 28353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28353.

How to find the GCF of 28340 and 28353?

We will first find the prime factorization of 28340 and 28353. After we will calculate the factors of 28340 and 28353 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 28353

Prime factors of 28353 are 3, 13, 727. Prime factorization of 28353 in exponential form is:

28353 = 3¹ × 13¹ × 727¹

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 28353

List of positive integer factors of 28353 that divides 28340 without a remainder.

1, 3, 13, 39, 727, 2181, 9451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28353. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28353 is 13.

Also check out the Least Common Multiple of 28340 and 28353