What is the Greatest Common Factor of 28700 and 28709?

Greatest common factor (GCF) of 28700 and 28709 is 1.

GCF(28700,28709) = 1

We will now calculate the prime factors of 28700 and 28709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28700 and 28709.

How to find the GCF of 28700 and 28709?

We will first find the prime factorization of 28700 and 28709. After we will calculate the factors of 28700 and 28709 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 28709

Prime factors of 28709 are 19, 1511. Prime factorization of 28709 in exponential form is:

28709 = 19¹ × 1511¹

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 28709

List of positive integer factors of 28709 that divides 28700 without a remainder.

1, 19, 1511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28700 and 28709. The biggest common factor number is the GCF number.
So the greatest common factor 28700 and 28709 is 1.

Also check out the Least Common Multiple of 28700 and 28709