What is the Greatest Common Factor of 28125 and 28135?

Greatest common factor (GCF) of 28125 and 28135 is 5.

GCF(28125,28135) = 5

We will now calculate the prime factors of 28125 and 28135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28125 and 28135.

How to find the GCF of 28125 and 28135?

We will first find the prime factorization of 28125 and 28135. After we will calculate the factors of 28125 and 28135 and find the biggest common factor number .

Step-1: Prime Factorization of 28125

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

28125 = 3² × 5⁵

Step-2: Prime Factorization of 28135

Prime factors of 28135 are 5, 17, 331. Prime factorization of 28135 in exponential form is:

28135 = 5¹ × 17¹ × 331¹

Step-3: Factors of 28125

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

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

Step-4: Factors of 28135

List of positive integer factors of 28135 that divides 28125 without a remainder.

1, 5, 17, 85, 331, 1655, 5627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28125 and 28135. The biggest common factor number is the GCF number.
So the greatest common factor 28125 and 28135 is 5.

Also check out the Least Common Multiple of 28125 and 28135