What is the Greatest Common Factor of 85785 and 85804?

Greatest common factor (GCF) of 85785 and 85804 is 19.

GCF(85785,85804) = 19

We will now calculate the prime factors of 85785 and 85804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85785 and 85804.

How to find the GCF of 85785 and 85804?

We will first find the prime factorization of 85785 and 85804. After we will calculate the factors of 85785 and 85804 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85804

Prime factors of 85804 are 2, 19, 1129. Prime factorization of 85804 in exponential form is:

85804 = 2² × 19¹ × 1129¹

Step-3: Factors of 85785

List of positive integer factors of 85785 that divides 85785 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

Step-4: Factors of 85804

List of positive integer factors of 85804 that divides 85785 without a remainder.

1, 2, 4, 19, 38, 76, 1129, 2258, 4516, 21451, 42902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85785 and 85804. The biggest common factor number is the GCF number.
So the greatest common factor 85785 and 85804 is 19.

Also check out the Least Common Multiple of 85785 and 85804