What is the Greatest Common Factor of 28340 and 28351?

Greatest common factor (GCF) of 28340 and 28351 is 1.

GCF(28340,28351) = 1

We will now calculate the prime factors of 28340 and 28351, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28351.

How to find the GCF of 28340 and 28351?

We will first find the prime factorization of 28340 and 28351. After we will calculate the factors of 28340 and 28351 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 28351

Prime factors of 28351 are 28351. Prime factorization of 28351 in exponential form is:

28351 = 28351¹

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 28351

List of positive integer factors of 28351 that divides 28340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28351. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28351 is 1.

Also check out the Least Common Multiple of 28340 and 28351