What is the Greatest Common Factor of 85405 and 85424?

Greatest common factor (GCF) of 85405 and 85424 is 19.

GCF(85405,85424) = 19

We will now calculate the prime factors of 85405 and 85424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85405 and 85424.

How to find the GCF of 85405 and 85424?

We will first find the prime factorization of 85405 and 85424. After we will calculate the factors of 85405 and 85424 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 85424

Prime factors of 85424 are 2, 19, 281. Prime factorization of 85424 in exponential form is:

85424 = 2⁴ × 19¹ × 281¹

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 85424

List of positive integer factors of 85424 that divides 85405 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 281, 304, 562, 1124, 2248, 4496, 5339, 10678, 21356, 42712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85405 and 85424. The biggest common factor number is the GCF number.
So the greatest common factor 85405 and 85424 is 19.

Also check out the Least Common Multiple of 85405 and 85424