What is the Greatest Common Factor of 85265 and 85285?

Greatest common factor (GCF) of 85265 and 85285 is 5.

GCF(85265,85285) = 5

We will now calculate the prime factors of 85265 and 85285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85265 and 85285.

How to find the GCF of 85265 and 85285?

We will first find the prime factorization of 85265 and 85285. After we will calculate the factors of 85265 and 85285 and find the biggest common factor number .

Step-1: Prime Factorization of 85265

Prime factors of 85265 are 5, 17053. Prime factorization of 85265 in exponential form is:

85265 = 5¹ × 17053¹

Step-2: 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-3: Factors of 85265

List of positive integer factors of 85265 that divides 85265 without a remainder.

1, 5, 17053

Step-4: Factors of 85285

List of positive integer factors of 85285 that divides 85265 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85265 and 85285. The biggest common factor number is the GCF number.
So the greatest common factor 85265 and 85285 is 5.

Also check out the Least Common Multiple of 85265 and 85285