What is the Greatest Common Factor of 85005 and 85025?

Greatest common factor (GCF) of 85005 and 85025 is 5.

GCF(85005,85025) = 5

We will now calculate the prime factors of 85005 and 85025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85005 and 85025.

How to find the GCF of 85005 and 85025?

We will first find the prime factorization of 85005 and 85025. After we will calculate the factors of 85005 and 85025 and find the biggest common factor number .

Step-1: Prime Factorization of 85005

Prime factors of 85005 are 3, 5, 1889. Prime factorization of 85005 in exponential form is:

85005 = 3² × 5¹ × 1889¹

Step-2: Prime Factorization of 85025

Prime factors of 85025 are 5, 19, 179. Prime factorization of 85025 in exponential form is:

85025 = 5² × 19¹ × 179¹

Step-3: Factors of 85005

List of positive integer factors of 85005 that divides 85005 without a remainder.

1, 3, 5, 9, 15, 45, 1889, 5667, 9445, 17001, 28335

Step-4: Factors of 85025

List of positive integer factors of 85025 that divides 85005 without a remainder.

1, 5, 19, 25, 95, 179, 475, 895, 3401, 4475, 17005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85005 and 85025. The biggest common factor number is the GCF number.
So the greatest common factor 85005 and 85025 is 5.

Also check out the Least Common Multiple of 85005 and 85025