What is the Greatest Common Factor of 28340 and 28346?

Greatest common factor (GCF) of 28340 and 28346 is 2.

GCF(28340,28346) = 2

We will now calculate the prime factors of 28340 and 28346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28346.

How to find the GCF of 28340 and 28346?

We will first find the prime factorization of 28340 and 28346. After we will calculate the factors of 28340 and 28346 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 28346

Prime factors of 28346 are 2, 14173. Prime factorization of 28346 in exponential form is:

28346 = 2¹ × 14173¹

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 28346

List of positive integer factors of 28346 that divides 28340 without a remainder.

1, 2, 14173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28346. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28346 is 2.

Also check out the Least Common Multiple of 28340 and 28346