What is the Greatest Common Factor of 83180 and 83185?

Greatest common factor (GCF) of 83180 and 83185 is 5.

GCF(83180,83185) = 5

We will now calculate the prime factors of 83180 and 83185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83180 and 83185.

How to find the GCF of 83180 and 83185?

We will first find the prime factorization of 83180 and 83185. After we will calculate the factors of 83180 and 83185 and find the biggest common factor number .

Step-1: Prime Factorization of 83180

Prime factors of 83180 are 2, 5, 4159. Prime factorization of 83180 in exponential form is:

83180 = 2² × 5¹ × 4159¹

Step-2: Prime Factorization of 83185

Prime factors of 83185 are 5, 127, 131. Prime factorization of 83185 in exponential form is:

83185 = 5¹ × 127¹ × 131¹

Step-3: Factors of 83180

List of positive integer factors of 83180 that divides 83180 without a remainder.

1, 2, 4, 5, 10, 20, 4159, 8318, 16636, 20795, 41590

Step-4: Factors of 83185

List of positive integer factors of 83185 that divides 83180 without a remainder.

1, 5, 127, 131, 635, 655, 16637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83180 and 83185. The biggest common factor number is the GCF number.
So the greatest common factor 83180 and 83185 is 5.

Also check out the Least Common Multiple of 83180 and 83185