What is the Greatest Common Factor of 85755 and 85771?

Greatest common factor (GCF) of 85755 and 85771 is 1.

GCF(85755,85771) = 1

We will now calculate the prime factors of 85755 and 85771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85755 and 85771.

How to find the GCF of 85755 and 85771?

We will first find the prime factorization of 85755 and 85771. After we will calculate the factors of 85755 and 85771 and find the biggest common factor number .

Step-1: Prime Factorization of 85755

Prime factors of 85755 are 3, 5, 5717. Prime factorization of 85755 in exponential form is:

85755 = 3¹ × 5¹ × 5717¹

Step-2: Prime Factorization of 85771

Prime factors of 85771 are 7, 12253. Prime factorization of 85771 in exponential form is:

85771 = 7¹ × 12253¹

Step-3: Factors of 85755

List of positive integer factors of 85755 that divides 85755 without a remainder.

1, 3, 5, 15, 5717, 17151, 28585

Step-4: Factors of 85771

List of positive integer factors of 85771 that divides 85755 without a remainder.

1, 7, 12253

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85755 and 85771. The biggest common factor number is the GCF number.
So the greatest common factor 85755 and 85771 is 1.

Also check out the Least Common Multiple of 85755 and 85771