What is the Greatest Common Factor of 85405 and 85416?

Greatest common factor (GCF) of 85405 and 85416 is 1.

GCF(85405,85416) = 1

We will now calculate the prime factors of 85405 and 85416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85405 and 85416.

How to find the GCF of 85405 and 85416?

We will first find the prime factorization of 85405 and 85416. After we will calculate the factors of 85405 and 85416 and find the biggest common factor number .

Step-1: Prime Factorization of 85405

Prime factors of 85405 are 5, 19, 29, 31. Prime factorization of 85405 in exponential form is:

85405 = 5¹ × 19¹ × 29¹ × 31¹

Step-2: Prime Factorization of 85416

Prime factors of 85416 are 2, 3, 3559. Prime factorization of 85416 in exponential form is:

85416 = 2³ × 3¹ × 3559¹

Step-3: Factors of 85405

List of positive integer factors of 85405 that divides 85405 without a remainder.

1, 5, 19, 29, 31, 95, 145, 155, 551, 589, 899, 2755, 2945, 4495, 17081

Step-4: Factors of 85416

List of positive integer factors of 85416 that divides 85405 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3559, 7118, 10677, 14236, 21354, 28472, 42708

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85405 and 85416. The biggest common factor number is the GCF number.
So the greatest common factor 85405 and 85416 is 1.

Also check out the Least Common Multiple of 85405 and 85416