What is the Greatest Common Factor of 28065 and 28075?

Greatest common factor (GCF) of 28065 and 28075 is 5.

GCF(28065,28075) = 5

We will now calculate the prime factors of 28065 and 28075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28065 and 28075.

How to find the GCF of 28065 and 28075?

We will first find the prime factorization of 28065 and 28075. After we will calculate the factors of 28065 and 28075 and find the biggest common factor number .

Step-1: Prime Factorization of 28065

Prime factors of 28065 are 3, 5, 1871. Prime factorization of 28065 in exponential form is:

28065 = 3¹ × 5¹ × 1871¹

Step-2: Prime Factorization of 28075

Prime factors of 28075 are 5, 1123. Prime factorization of 28075 in exponential form is:

28075 = 5² × 1123¹

Step-3: Factors of 28065

List of positive integer factors of 28065 that divides 28065 without a remainder.

1, 3, 5, 15, 1871, 5613, 9355

Step-4: Factors of 28075

List of positive integer factors of 28075 that divides 28065 without a remainder.

1, 5, 25, 1123, 5615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28065 and 28075. The biggest common factor number is the GCF number.
So the greatest common factor 28065 and 28075 is 5.

Also check out the Least Common Multiple of 28065 and 28075