What is the Greatest Common Factor of 85505 and 85525?

Greatest common factor (GCF) of 85505 and 85525 is 5.

GCF(85505,85525) = 5

We will now calculate the prime factors of 85505 and 85525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85505 and 85525.

How to find the GCF of 85505 and 85525?

We will first find the prime factorization of 85505 and 85525. After we will calculate the factors of 85505 and 85525 and find the biggest common factor number .

Step-1: Prime Factorization of 85505

Prime factors of 85505 are 5, 7, 349. Prime factorization of 85505 in exponential form is:

85505 = 5¹ × 7² × 349¹

Step-2: Prime Factorization of 85525

Prime factors of 85525 are 5, 11, 311. Prime factorization of 85525 in exponential form is:

85525 = 5² × 11¹ × 311¹

Step-3: Factors of 85505

List of positive integer factors of 85505 that divides 85505 without a remainder.

1, 5, 7, 35, 49, 245, 349, 1745, 2443, 12215, 17101

Step-4: Factors of 85525

List of positive integer factors of 85525 that divides 85505 without a remainder.

1, 5, 11, 25, 55, 275, 311, 1555, 3421, 7775, 17105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85505 and 85525. The biggest common factor number is the GCF number.
So the greatest common factor 85505 and 85525 is 5.

Also check out the Least Common Multiple of 85505 and 85525