What is the Greatest Common Factor of 85770 and 85785?

Greatest common factor (GCF) of 85770 and 85785 is 15.

GCF(85770,85785) = 15

We will now calculate the prime factors of 85770 and 85785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85770 and 85785.

How to find the GCF of 85770 and 85785?

We will first find the prime factorization of 85770 and 85785. After we will calculate the factors of 85770 and 85785 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85785

Prime factors of 85785 are 3, 5, 7, 19, 43. Prime factorization of 85785 in exponential form is:

85785 = 3¹ × 5¹ × 7¹ × 19¹ × 43¹

Step-3: Factors of 85770

List of positive integer factors of 85770 that divides 85770 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

Step-4: Factors of 85785

List of positive integer factors of 85785 that divides 85770 without a remainder.

1, 3, 5, 7, 15, 19, 21, 35, 43, 57, 95, 105, 129, 133, 215, 285, 301, 399, 645, 665, 817, 903, 1505, 1995, 2451, 4085, 4515, 5719, 12255, 17157, 28595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85770 and 85785. The biggest common factor number is the GCF number.
So the greatest common factor 85770 and 85785 is 15.

Also check out the Least Common Multiple of 85770 and 85785