What is the Greatest Common Factor of 85455 and 85465?

Greatest common factor (GCF) of 85455 and 85465 is 5.

GCF(85455,85465) = 5

We will now calculate the prime factors of 85455 and 85465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85455 and 85465.

How to find the GCF of 85455 and 85465?

We will first find the prime factorization of 85455 and 85465. After we will calculate the factors of 85455 and 85465 and find the biggest common factor number .

Step-1: Prime Factorization of 85455

Prime factors of 85455 are 3, 5, 211. Prime factorization of 85455 in exponential form is:

85455 = 3⁴ × 5¹ × 211¹

Step-2: Prime Factorization of 85465

Prime factors of 85465 are 5, 17093. Prime factorization of 85465 in exponential form is:

85465 = 5¹ × 17093¹

Step-3: Factors of 85455

List of positive integer factors of 85455 that divides 85455 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 211, 405, 633, 1055, 1899, 3165, 5697, 9495, 17091, 28485

Step-4: Factors of 85465

List of positive integer factors of 85465 that divides 85455 without a remainder.

1, 5, 17093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85455 and 85465. The biggest common factor number is the GCF number.
So the greatest common factor 85455 and 85465 is 5.

Also check out the Least Common Multiple of 85455 and 85465