What is the Greatest Common Factor of 28700 and 28719?

Greatest common factor (GCF) of 28700 and 28719 is 1.

GCF(28700,28719) = 1

We will now calculate the prime factors of 28700 and 28719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28700 and 28719.

How to find the GCF of 28700 and 28719?

We will first find the prime factorization of 28700 and 28719. After we will calculate the factors of 28700 and 28719 and find the biggest common factor number .

Step-1: Prime Factorization of 28700

Prime factors of 28700 are 2, 5, 7, 41. Prime factorization of 28700 in exponential form is:

28700 = 2² × 5² × 7¹ × 41¹

Step-2: Prime Factorization of 28719

Prime factors of 28719 are 3, 3191. Prime factorization of 28719 in exponential form is:

28719 = 3² × 3191¹

Step-3: Factors of 28700

List of positive integer factors of 28700 that divides 28700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 41, 50, 70, 82, 100, 140, 164, 175, 205, 287, 350, 410, 574, 700, 820, 1025, 1148, 1435, 2050, 2870, 4100, 5740, 7175, 14350

Step-4: Factors of 28719

List of positive integer factors of 28719 that divides 28700 without a remainder.

1, 3, 9, 3191, 9573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28700 and 28719. The biggest common factor number is the GCF number.
So the greatest common factor 28700 and 28719 is 1.

Also check out the Least Common Multiple of 28700 and 28719