What is the Greatest Common Factor of 28850 and 28865?

Greatest common factor (GCF) of 28850 and 28865 is 5.

GCF(28850,28865) = 5

We will now calculate the prime factors of 28850 and 28865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28850 and 28865.

How to find the GCF of 28850 and 28865?

We will first find the prime factorization of 28850 and 28865. After we will calculate the factors of 28850 and 28865 and find the biggest common factor number .

Step-1: Prime Factorization of 28850

Prime factors of 28850 are 2, 5, 577. Prime factorization of 28850 in exponential form is:

28850 = 2¹ × 5² × 577¹

Step-2: Prime Factorization of 28865

Prime factors of 28865 are 5, 23, 251. Prime factorization of 28865 in exponential form is:

28865 = 5¹ × 23¹ × 251¹

Step-3: Factors of 28850

List of positive integer factors of 28850 that divides 28850 without a remainder.

1, 2, 5, 10, 25, 50, 577, 1154, 2885, 5770, 14425

Step-4: Factors of 28865

List of positive integer factors of 28865 that divides 28850 without a remainder.

1, 5, 23, 115, 251, 1255, 5773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28850 and 28865. The biggest common factor number is the GCF number.
So the greatest common factor 28850 and 28865 is 5.

Also check out the Least Common Multiple of 28850 and 28865