What is the Greatest Common Factor of 86080 and 86089?

Greatest common factor (GCF) of 86080 and 86089 is 1.

GCF(86080,86089) = 1

We will now calculate the prime factors of 86080 and 86089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86080 and 86089.

How to find the GCF of 86080 and 86089?

We will first find the prime factorization of 86080 and 86089. After we will calculate the factors of 86080 and 86089 and find the biggest common factor number .

Step-1: Prime Factorization of 86080

Prime factors of 86080 are 2, 5, 269. Prime factorization of 86080 in exponential form is:

86080 = 2⁶ × 5¹ × 269¹

Step-2: Prime Factorization of 86089

Prime factors of 86089 are 19, 23, 197. Prime factorization of 86089 in exponential form is:

86089 = 19¹ × 23¹ × 197¹

Step-3: Factors of 86080

List of positive integer factors of 86080 that divides 86080 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 269, 320, 538, 1076, 1345, 2152, 2690, 4304, 5380, 8608, 10760, 17216, 21520, 43040

Step-4: Factors of 86089

List of positive integer factors of 86089 that divides 86080 without a remainder.

1, 19, 23, 197, 437, 3743, 4531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86080 and 86089. The biggest common factor number is the GCF number.
So the greatest common factor 86080 and 86089 is 1.

Also check out the Least Common Multiple of 86080 and 86089