What is the Greatest Common Factor of 28340 and 28358?

Greatest common factor (GCF) of 28340 and 28358 is 2.

GCF(28340,28358) = 2

We will now calculate the prime factors of 28340 and 28358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28358.

How to find the GCF of 28340 and 28358?

We will first find the prime factorization of 28340 and 28358. After we will calculate the factors of 28340 and 28358 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 28358

Prime factors of 28358 are 2, 11, 1289. Prime factorization of 28358 in exponential form is:

28358 = 2¹ × 11¹ × 1289¹

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 28358

List of positive integer factors of 28358 that divides 28340 without a remainder.

1, 2, 11, 22, 1289, 2578, 14179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28358. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28358 is 2.

Also check out the Least Common Multiple of 28340 and 28358