What is the Greatest Common Factor of 85385 and 85404?

Greatest common factor (GCF) of 85385 and 85404 is 1.

GCF(85385,85404) = 1

We will now calculate the prime factors of 85385 and 85404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85385 and 85404.

How to find the GCF of 85385 and 85404?

We will first find the prime factorization of 85385 and 85404. After we will calculate the factors of 85385 and 85404 and find the biggest common factor number .

Step-1: Prime Factorization of 85385

Prime factors of 85385 are 5, 17077. Prime factorization of 85385 in exponential form is:

85385 = 5¹ × 17077¹

Step-2: Prime Factorization of 85404

Prime factors of 85404 are 2, 3, 11, 647. Prime factorization of 85404 in exponential form is:

85404 = 2² × 3¹ × 11¹ × 647¹

Step-3: Factors of 85385

List of positive integer factors of 85385 that divides 85385 without a remainder.

1, 5, 17077

Step-4: Factors of 85404

List of positive integer factors of 85404 that divides 85385 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 647, 1294, 1941, 2588, 3882, 7117, 7764, 14234, 21351, 28468, 42702

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85385 and 85404. The biggest common factor number is the GCF number.
So the greatest common factor 85385 and 85404 is 1.

Also check out the Least Common Multiple of 85385 and 85404