What is the Greatest Common Factor of 85285 and 85304?

Greatest common factor (GCF) of 85285 and 85304 is 1.

GCF(85285,85304) = 1

We will now calculate the prime factors of 85285 and 85304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85285 and 85304.

How to find the GCF of 85285 and 85304?

We will first find the prime factorization of 85285 and 85304. After we will calculate the factors of 85285 and 85304 and find the biggest common factor number .

Step-1: Prime Factorization of 85285

Prime factors of 85285 are 5, 37, 461. Prime factorization of 85285 in exponential form is:

85285 = 5¹ × 37¹ × 461¹

Step-2: Prime Factorization of 85304

Prime factors of 85304 are 2, 10663. Prime factorization of 85304 in exponential form is:

85304 = 2³ × 10663¹

Step-3: Factors of 85285

List of positive integer factors of 85285 that divides 85285 without a remainder.

1, 5, 37, 185, 461, 2305, 17057

Step-4: Factors of 85304

List of positive integer factors of 85304 that divides 85285 without a remainder.

1, 2, 4, 8, 10663, 21326, 42652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85285 and 85304. The biggest common factor number is the GCF number.
So the greatest common factor 85285 and 85304 is 1.

Also check out the Least Common Multiple of 85285 and 85304