What is the Greatest Common Factor of 85065 and 85075?

Greatest common factor (GCF) of 85065 and 85075 is 5.

GCF(85065,85075) = 5

We will now calculate the prime factors of 85065 and 85075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85065 and 85075.

How to find the GCF of 85065 and 85075?

We will first find the prime factorization of 85065 and 85075. After we will calculate the factors of 85065 and 85075 and find the biggest common factor number .

Step-1: Prime Factorization of 85065

Prime factors of 85065 are 3, 5, 53, 107. Prime factorization of 85065 in exponential form is:

85065 = 3¹ × 5¹ × 53¹ × 107¹

Step-2: Prime Factorization of 85075

Prime factors of 85075 are 5, 41, 83. Prime factorization of 85075 in exponential form is:

85075 = 5² × 41¹ × 83¹

Step-3: Factors of 85065

List of positive integer factors of 85065 that divides 85065 without a remainder.

1, 3, 5, 15, 53, 107, 159, 265, 321, 535, 795, 1605, 5671, 17013, 28355

Step-4: Factors of 85075

List of positive integer factors of 85075 that divides 85065 without a remainder.

1, 5, 25, 41, 83, 205, 415, 1025, 2075, 3403, 17015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85065 and 85075. The biggest common factor number is the GCF number.
So the greatest common factor 85065 and 85075 is 5.

Also check out the Least Common Multiple of 85065 and 85075