What is the Greatest Common Factor of 86200 and 86210?

Greatest common factor (GCF) of 86200 and 86210 is 10.

GCF(86200,86210) = 10

We will now calculate the prime factors of 86200 and 86210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86200 and 86210.

How to find the GCF of 86200 and 86210?

We will first find the prime factorization of 86200 and 86210. After we will calculate the factors of 86200 and 86210 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86210

Prime factors of 86210 are 2, 5, 37, 233. Prime factorization of 86210 in exponential form is:

86210 = 2¹ × 5¹ × 37¹ × 233¹

Step-3: Factors of 86200

List of positive integer factors of 86200 that divides 86200 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

Step-4: Factors of 86210

List of positive integer factors of 86210 that divides 86200 without a remainder.

1, 2, 5, 10, 37, 74, 185, 233, 370, 466, 1165, 2330, 8621, 17242, 43105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86200 and 86210. The biggest common factor number is the GCF number.
So the greatest common factor 86200 and 86210 is 10.

Also check out the Least Common Multiple of 86200 and 86210