What is the Greatest Common Factor of 86074 and 86080?

Greatest common factor (GCF) of 86074 and 86080 is 2.

GCF(86074,86080) = 2

We will now calculate the prime factors of 86074 and 86080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86074 and 86080.

How to find the GCF of 86074 and 86080?

We will first find the prime factorization of 86074 and 86080. After we will calculate the factors of 86074 and 86080 and find the biggest common factor number .

Step-1: Prime Factorization of 86074

Prime factors of 86074 are 2, 43037. Prime factorization of 86074 in exponential form is:

86074 = 2¹ × 43037¹

Step-2: 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-3: Factors of 86074

List of positive integer factors of 86074 that divides 86074 without a remainder.

1, 2, 43037

Step-4: Factors of 86080

List of positive integer factors of 86080 that divides 86074 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86074 and 86080. The biggest common factor number is the GCF number.
So the greatest common factor 86074 and 86080 is 2.

Also check out the Least Common Multiple of 86074 and 86080