What is the Greatest Common Factor of 85609 and 85625?

Greatest common factor (GCF) of 85609 and 85625 is 1.

GCF(85609,85625) = 1

We will now calculate the prime factors of 85609 and 85625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85609 and 85625.

How to find the GCF of 85609 and 85625?

We will first find the prime factorization of 85609 and 85625. After we will calculate the factors of 85609 and 85625 and find the biggest common factor number .

Step-1: Prime Factorization of 85609

Prime factors of 85609 are 59, 1451. Prime factorization of 85609 in exponential form is:

85609 = 59¹ × 1451¹

Step-2: Prime Factorization of 85625

Prime factors of 85625 are 5, 137. Prime factorization of 85625 in exponential form is:

85625 = 5⁴ × 137¹

Step-3: Factors of 85609

List of positive integer factors of 85609 that divides 85609 without a remainder.

1, 59, 1451

Step-4: Factors of 85625

List of positive integer factors of 85625 that divides 85609 without a remainder.

1, 5, 25, 125, 137, 625, 685, 3425, 17125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85609 and 85625. The biggest common factor number is the GCF number.
So the greatest common factor 85609 and 85625 is 1.

Also check out the Least Common Multiple of 85609 and 85625