What is the Greatest Common Factor of 86182 and 86200?

Greatest common factor (GCF) of 86182 and 86200 is 2.

GCF(86182,86200) = 2

We will now calculate the prime factors of 86182 and 86200, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86182 and 86200.

How to find the GCF of 86182 and 86200?

We will first find the prime factorization of 86182 and 86200. After we will calculate the factors of 86182 and 86200 and find the biggest common factor number .

Step-1: Prime Factorization of 86182

Prime factors of 86182 are 2, 41, 1051. Prime factorization of 86182 in exponential form is:

86182 = 2¹ × 41¹ × 1051¹

Step-2: Prime Factorization of 86200

Prime factors of 86200 are 2, 5, 431. Prime factorization of 86200 in exponential form is:

86200 = 2³ × 5² × 431¹

Step-3: Factors of 86182

List of positive integer factors of 86182 that divides 86182 without a remainder.

1, 2, 41, 82, 1051, 2102, 43091

Step-4: Factors of 86200

List of positive integer factors of 86200 that divides 86182 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 431, 862, 1724, 2155, 3448, 4310, 8620, 10775, 17240, 21550, 43100

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86182 and 86200. The biggest common factor number is the GCF number.
So the greatest common factor 86182 and 86200 is 2.

Also check out the Least Common Multiple of 86182 and 86200