What is the Greatest Common Factor of 85755 and 85770?

Greatest common factor (GCF) of 85755 and 85770 is 15.

GCF(85755,85770) = 15

We will now calculate the prime factors of 85755 and 85770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85755 and 85770.

How to find the GCF of 85755 and 85770?

We will first find the prime factorization of 85755 and 85770. After we will calculate the factors of 85755 and 85770 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 85770

Prime factors of 85770 are 2, 3, 5, 953. Prime factorization of 85770 in exponential form is:

85770 = 2¹ × 3² × 5¹ × 953¹

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 85770

List of positive integer factors of 85770 that divides 85755 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 953, 1906, 2859, 4765, 5718, 8577, 9530, 14295, 17154, 28590, 42885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85755 and 85770. The biggest common factor number is the GCF number.
So the greatest common factor 85755 and 85770 is 15.

Also check out the Least Common Multiple of 85755 and 85770