What is the Greatest Common Factor of 28107 and 28125?

Greatest common factor (GCF) of 28107 and 28125 is 9.

GCF(28107,28125) = 9

We will now calculate the prime factors of 28107 and 28125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28107 and 28125.

How to find the GCF of 28107 and 28125?

We will first find the prime factorization of 28107 and 28125. After we will calculate the factors of 28107 and 28125 and find the biggest common factor number .

Step-1: Prime Factorization of 28107

Prime factors of 28107 are 3, 347. Prime factorization of 28107 in exponential form is:

28107 = 3⁴ × 347¹

Step-2: Prime Factorization of 28125

Prime factors of 28125 are 3, 5. Prime factorization of 28125 in exponential form is:

28125 = 3² × 5⁵

Step-3: Factors of 28107

List of positive integer factors of 28107 that divides 28107 without a remainder.

1, 3, 9, 27, 81, 347, 1041, 3123, 9369

Step-4: Factors of 28125

List of positive integer factors of 28125 that divides 28107 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 3125, 5625, 9375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28107 and 28125. The biggest common factor number is the GCF number.
So the greatest common factor 28107 and 28125 is 9.

Also check out the Least Common Multiple of 28107 and 28125