What is the Greatest Common Factor of 88085 and 88096?

Greatest common factor (GCF) of 88085 and 88096 is 1.

GCF(88085,88096) = 1

We will now calculate the prime factors of 88085 and 88096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88085 and 88096.

How to find the GCF of 88085 and 88096?

We will first find the prime factorization of 88085 and 88096. After we will calculate the factors of 88085 and 88096 and find the biggest common factor number .

Step-1: Prime Factorization of 88085

Prime factors of 88085 are 5, 79, 223. Prime factorization of 88085 in exponential form is:

88085 = 5¹ × 79¹ × 223¹

Step-2: Prime Factorization of 88096

Prime factors of 88096 are 2, 2753. Prime factorization of 88096 in exponential form is:

88096 = 2⁵ × 2753¹

Step-3: Factors of 88085

List of positive integer factors of 88085 that divides 88085 without a remainder.

1, 5, 79, 223, 395, 1115, 17617

Step-4: Factors of 88096

List of positive integer factors of 88096 that divides 88085 without a remainder.

1, 2, 4, 8, 16, 32, 2753, 5506, 11012, 22024, 44048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88085 and 88096. The biggest common factor number is the GCF number.
So the greatest common factor 88085 and 88096 is 1.

Also check out the Least Common Multiple of 88085 and 88096