What is the Greatest Common Factor of 85125 and 85137?

Greatest common factor (GCF) of 85125 and 85137 is 3.

GCF(85125,85137) = 3

We will now calculate the prime factors of 85125 and 85137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85125 and 85137.

How to find the GCF of 85125 and 85137?

We will first find the prime factorization of 85125 and 85137. After we will calculate the factors of 85125 and 85137 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 85137

Prime factors of 85137 are 3, 13, 37, 59. Prime factorization of 85137 in exponential form is:

85137 = 3¹ × 13¹ × 37¹ × 59¹

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 85137

List of positive integer factors of 85137 that divides 85125 without a remainder.

1, 3, 13, 37, 39, 59, 111, 177, 481, 767, 1443, 2183, 2301, 6549, 28379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85125 and 85137. The biggest common factor number is the GCF number.
So the greatest common factor 85125 and 85137 is 3.

Also check out the Least Common Multiple of 85125 and 85137