What is the Greatest Common Factor of 85125 and 85134?

Greatest common factor (GCF) of 85125 and 85134 is 3.

GCF(85125,85134) = 3

We will now calculate the prime factors of 85125 and 85134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85125 and 85134.

How to find the GCF of 85125 and 85134?

We will first find the prime factorization of 85125 and 85134. After we will calculate the factors of 85125 and 85134 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 85134

Prime factors of 85134 are 2, 3, 7, 2027. Prime factorization of 85134 in exponential form is:

85134 = 2¹ × 3¹ × 7¹ × 2027¹

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 85134

List of positive integer factors of 85134 that divides 85125 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2027, 4054, 6081, 12162, 14189, 28378, 42567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85125 and 85134. The biggest common factor number is the GCF number.
So the greatest common factor 85125 and 85134 is 3.

Also check out the Least Common Multiple of 85125 and 85134