What is the Greatest Common Factor of 86080 and 86085?

Greatest common factor (GCF) of 86080 and 86085 is 5.

GCF(86080,86085) = 5

We will now calculate the prime factors of 86080 and 86085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86080 and 86085.

How to find the GCF of 86080 and 86085?

We will first find the prime factorization of 86080 and 86085. After we will calculate the factors of 86080 and 86085 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 86085

Prime factors of 86085 are 3, 5, 1913. Prime factorization of 86085 in exponential form is:

86085 = 3² × 5¹ × 1913¹

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 86085

List of positive integer factors of 86085 that divides 86080 without a remainder.

1, 3, 5, 9, 15, 45, 1913, 5739, 9565, 17217, 28695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86080 and 86085. The biggest common factor number is the GCF number.
So the greatest common factor 86080 and 86085 is 5.

Also check out the Least Common Multiple of 86080 and 86085