What is the Greatest Common Factor of 85505 and 85524?

Greatest common factor (GCF) of 85505 and 85524 is 1.

GCF(85505,85524) = 1

We will now calculate the prime factors of 85505 and 85524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85505 and 85524.

How to find the GCF of 85505 and 85524?

We will first find the prime factorization of 85505 and 85524. After we will calculate the factors of 85505 and 85524 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 85524

Prime factors of 85524 are 2, 3, 7127. Prime factorization of 85524 in exponential form is:

85524 = 2² × 3¹ × 7127¹

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 85524

List of positive integer factors of 85524 that divides 85505 without a remainder.

1, 2, 3, 4, 6, 12, 7127, 14254, 21381, 28508, 42762

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85505 and 85524. The biggest common factor number is the GCF number.
So the greatest common factor 85505 and 85524 is 1.

Also check out the Least Common Multiple of 85505 and 85524