What is the Greatest Common Factor of 86180 and 86195?

Greatest common factor (GCF) of 86180 and 86195 is 5.

GCF(86180,86195) = 5

We will now calculate the prime factors of 86180 and 86195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86180 and 86195.

How to find the GCF of 86180 and 86195?

We will first find the prime factorization of 86180 and 86195. After we will calculate the factors of 86180 and 86195 and find the biggest common factor number .

Step-1: Prime Factorization of 86180

Prime factors of 86180 are 2, 5, 31, 139. Prime factorization of 86180 in exponential form is:

86180 = 2² × 5¹ × 31¹ × 139¹

Step-2: Prime Factorization of 86195

Prime factors of 86195 are 5, 17239. Prime factorization of 86195 in exponential form is:

86195 = 5¹ × 17239¹

Step-3: Factors of 86180

List of positive integer factors of 86180 that divides 86180 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 139, 155, 278, 310, 556, 620, 695, 1390, 2780, 4309, 8618, 17236, 21545, 43090

Step-4: Factors of 86195

List of positive integer factors of 86195 that divides 86180 without a remainder.

1, 5, 17239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86180 and 86195. The biggest common factor number is the GCF number.
So the greatest common factor 86180 and 86195 is 5.

Also check out the Least Common Multiple of 86180 and 86195