What is the Greatest Common Factor of 80085 and 80097?

Greatest common factor (GCF) of 80085 and 80097 is 3.

GCF(80085,80097) = 3

We will now calculate the prime factors of 80085 and 80097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80085 and 80097.

How to find the GCF of 80085 and 80097?

We will first find the prime factorization of 80085 and 80097. After we will calculate the factors of 80085 and 80097 and find the biggest common factor number .

Step-1: Prime Factorization of 80085

Prime factors of 80085 are 3, 5, 19, 281. Prime factorization of 80085 in exponential form is:

80085 = 3¹ × 5¹ × 19¹ × 281¹

Step-2: Prime Factorization of 80097

Prime factors of 80097 are 3, 26699. Prime factorization of 80097 in exponential form is:

80097 = 3¹ × 26699¹

Step-3: Factors of 80085

List of positive integer factors of 80085 that divides 80085 without a remainder.

1, 3, 5, 15, 19, 57, 95, 281, 285, 843, 1405, 4215, 5339, 16017, 26695

Step-4: Factors of 80097

List of positive integer factors of 80097 that divides 80085 without a remainder.

1, 3, 26699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80085 and 80097. The biggest common factor number is the GCF number.
So the greatest common factor 80085 and 80097 is 3.

Also check out the Least Common Multiple of 80085 and 80097