What is the Greatest Common Factor of 28700 and 28715?

Greatest common factor (GCF) of 28700 and 28715 is 5.

GCF(28700,28715) = 5

We will now calculate the prime factors of 28700 and 28715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28700 and 28715.

How to find the GCF of 28700 and 28715?

We will first find the prime factorization of 28700 and 28715. After we will calculate the factors of 28700 and 28715 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 28715

Prime factors of 28715 are 5, 5743. Prime factorization of 28715 in exponential form is:

28715 = 5¹ × 5743¹

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 28715

List of positive integer factors of 28715 that divides 28700 without a remainder.

1, 5, 5743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28700 and 28715. The biggest common factor number is the GCF number.
So the greatest common factor 28700 and 28715 is 5.

Also check out the Least Common Multiple of 28700 and 28715