What is the Greatest Common Factor of 28340 and 28349?

Greatest common factor (GCF) of 28340 and 28349 is 1.

GCF(28340,28349) = 1

We will now calculate the prime factors of 28340 and 28349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28349.

How to find the GCF of 28340 and 28349?

We will first find the prime factorization of 28340 and 28349. After we will calculate the factors of 28340 and 28349 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 28349

Prime factors of 28349 are 28349. Prime factorization of 28349 in exponential form is:

28349 = 28349¹

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 28349

List of positive integer factors of 28349 that divides 28340 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28349. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28349 is 1.

Also check out the Least Common Multiple of 28340 and 28349