What is the Greatest Common Factor of 28700 and 28713?

Greatest common factor (GCF) of 28700 and 28713 is 1.

GCF(28700,28713) = 1

We will now calculate the prime factors of 28700 and 28713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28700 and 28713.

How to find the GCF of 28700 and 28713?

We will first find the prime factorization of 28700 and 28713. After we will calculate the factors of 28700 and 28713 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 28713

Prime factors of 28713 are 3, 17, 563. Prime factorization of 28713 in exponential form is:

28713 = 3¹ × 17¹ × 563¹

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 28713

List of positive integer factors of 28713 that divides 28700 without a remainder.

1, 3, 17, 51, 563, 1689, 9571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28700 and 28713. The biggest common factor number is the GCF number.
So the greatest common factor 28700 and 28713 is 1.

Also check out the Least Common Multiple of 28700 and 28713