What is the Greatest Common Factor of 94205 and 94210?

Greatest common factor (GCF) of 94205 and 94210 is 5.

GCF(94205,94210) = 5

We will now calculate the prime factors of 94205 and 94210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94205 and 94210.

How to find the GCF of 94205 and 94210?

We will first find the prime factorization of 94205 and 94210. After we will calculate the factors of 94205 and 94210 and find the biggest common factor number .

Step-1: Prime Factorization of 94205

Prime factors of 94205 are 5, 83, 227. Prime factorization of 94205 in exponential form is:

94205 = 5¹ × 83¹ × 227¹

Step-2: Prime Factorization of 94210

Prime factors of 94210 are 2, 5, 9421. Prime factorization of 94210 in exponential form is:

94210 = 2¹ × 5¹ × 9421¹

Step-3: Factors of 94205

List of positive integer factors of 94205 that divides 94205 without a remainder.

1, 5, 83, 227, 415, 1135, 18841

Step-4: Factors of 94210

List of positive integer factors of 94210 that divides 94205 without a remainder.

1, 2, 5, 10, 9421, 18842, 47105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94205 and 94210. The biggest common factor number is the GCF number.
So the greatest common factor 94205 and 94210 is 5.

Also check out the Least Common Multiple of 94205 and 94210