What is the Greatest Common Factor of 85125 and 85144?

Greatest common factor (GCF) of 85125 and 85144 is 1.

GCF(85125,85144) = 1

We will now calculate the prime factors of 85125 and 85144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85125 and 85144.

How to find the GCF of 85125 and 85144?

We will first find the prime factorization of 85125 and 85144. After we will calculate the factors of 85125 and 85144 and find the biggest common factor number .

Step-1: Prime Factorization of 85125

Prime factors of 85125 are 3, 5, 227. Prime factorization of 85125 in exponential form is:

85125 = 3¹ × 5³ × 227¹

Step-2: Prime Factorization of 85144

Prime factors of 85144 are 2, 29, 367. Prime factorization of 85144 in exponential form is:

85144 = 2³ × 29¹ × 367¹

Step-3: Factors of 85125

List of positive integer factors of 85125 that divides 85125 without a remainder.

1, 3, 5, 15, 25, 75, 125, 227, 375, 681, 1135, 3405, 5675, 17025, 28375

Step-4: Factors of 85144

List of positive integer factors of 85144 that divides 85125 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 367, 734, 1468, 2936, 10643, 21286, 42572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85125 and 85144. The biggest common factor number is the GCF number.
So the greatest common factor 85125 and 85144 is 1.

Also check out the Least Common Multiple of 85125 and 85144