What is the Greatest Common Factor of 28340 and 28357?

Greatest common factor (GCF) of 28340 and 28357 is 1.

GCF(28340,28357) = 1

We will now calculate the prime factors of 28340 and 28357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28340 and 28357.

How to find the GCF of 28340 and 28357?

We will first find the prime factorization of 28340 and 28357. After we will calculate the factors of 28340 and 28357 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 28357

Prime factors of 28357 are 7, 4051. Prime factorization of 28357 in exponential form is:

28357 = 7¹ × 4051¹

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 28357

List of positive integer factors of 28357 that divides 28340 without a remainder.

1, 7, 4051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28340 and 28357. The biggest common factor number is the GCF number.
So the greatest common factor 28340 and 28357 is 1.

Also check out the Least Common Multiple of 28340 and 28357