What is the Greatest Common Factor of 85775 and 85782?

Greatest common factor (GCF) of 85775 and 85782 is 1.

GCF(85775,85782) = 1

We will now calculate the prime factors of 85775 and 85782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85775 and 85782.

How to find the GCF of 85775 and 85782?

We will first find the prime factorization of 85775 and 85782. After we will calculate the factors of 85775 and 85782 and find the biggest common factor number .

Step-1: Prime Factorization of 85775

Prime factors of 85775 are 5, 47, 73. Prime factorization of 85775 in exponential form is:

85775 = 5² × 47¹ × 73¹

Step-2: Prime Factorization of 85782

Prime factors of 85782 are 2, 3, 17, 29. Prime factorization of 85782 in exponential form is:

85782 = 2¹ × 3¹ × 17¹ × 29²

Step-3: Factors of 85775

List of positive integer factors of 85775 that divides 85775 without a remainder.

1, 5, 25, 47, 73, 235, 365, 1175, 1825, 3431, 17155

Step-4: Factors of 85782

List of positive integer factors of 85782 that divides 85775 without a remainder.

1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 493, 841, 986, 1479, 1682, 2523, 2958, 5046, 14297, 28594, 42891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85775 and 85782. The biggest common factor number is the GCF number.
So the greatest common factor 85775 and 85782 is 1.

Also check out the Least Common Multiple of 85775 and 85782