What is the Greatest Common Factor of 85152 and 85171?

Greatest common factor (GCF) of 85152 and 85171 is 1.

GCF(85152,85171) = 1

We will now calculate the prime factors of 85152 and 85171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85152 and 85171.

How to find the GCF of 85152 and 85171?

We will first find the prime factorization of 85152 and 85171. After we will calculate the factors of 85152 and 85171 and find the biggest common factor number .

Step-1: Prime Factorization of 85152

Prime factors of 85152 are 2, 3, 887. Prime factorization of 85152 in exponential form is:

85152 = 2⁵ × 3¹ × 887¹

Step-2: Prime Factorization of 85171

Prime factors of 85171 are 53, 1607. Prime factorization of 85171 in exponential form is:

85171 = 53¹ × 1607¹

Step-3: Factors of 85152

List of positive integer factors of 85152 that divides 85152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 887, 1774, 2661, 3548, 5322, 7096, 10644, 14192, 21288, 28384, 42576

Step-4: Factors of 85171

List of positive integer factors of 85171 that divides 85152 without a remainder.

1, 53, 1607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85152 and 85171. The biggest common factor number is the GCF number.
So the greatest common factor 85152 and 85171 is 1.

Also check out the Least Common Multiple of 85152 and 85171