What is the Greatest Common Factor of 28900 and 28911?

Greatest common factor (GCF) of 28900 and 28911 is 1.

GCF(28900,28911) = 1

We will now calculate the prime factors of 28900 and 28911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28900 and 28911.

How to find the GCF of 28900 and 28911?

We will first find the prime factorization of 28900 and 28911. After we will calculate the factors of 28900 and 28911 and find the biggest common factor number .

Step-1: Prime Factorization of 28900

Prime factors of 28900 are 2, 5, 17. Prime factorization of 28900 in exponential form is:

28900 = 2² × 5² × 17²

Step-2: Prime Factorization of 28911

Prime factors of 28911 are 3, 23, 419. Prime factorization of 28911 in exponential form is:

28911 = 3¹ × 23¹ × 419¹

Step-3: Factors of 28900

List of positive integer factors of 28900 that divides 28900 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 289, 340, 425, 578, 850, 1156, 1445, 1700, 2890, 5780, 7225, 14450

Step-4: Factors of 28911

List of positive integer factors of 28911 that divides 28900 without a remainder.

1, 3, 23, 69, 419, 1257, 9637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28900 and 28911. The biggest common factor number is the GCF number.
So the greatest common factor 28900 and 28911 is 1.

Also check out the Least Common Multiple of 28900 and 28911