What is the Greatest Common Factor of 85785 and 85798?

Greatest common factor (GCF) of 85785 and 85798 is 1.

GCF(85785,85798) = 1

We will now calculate the prime factors of 85785 and 85798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85785 and 85798.

How to find the GCF of 85785 and 85798?

We will first find the prime factorization of 85785 and 85798. After we will calculate the factors of 85785 and 85798 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 85798

Prime factors of 85798 are 2, 42899. Prime factorization of 85798 in exponential form is:

85798 = 2¹ × 42899¹

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 85798

List of positive integer factors of 85798 that divides 85785 without a remainder.

1, 2, 42899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85785 and 85798. The biggest common factor number is the GCF number.
So the greatest common factor 85785 and 85798 is 1.

Also check out the Least Common Multiple of 85785 and 85798