What is the Greatest Common Factor of 66205 and 66225?

Greatest common factor (GCF) of 66205 and 66225 is 5.

GCF(66205,66225) = 5

We will now calculate the prime factors of 66205 and 66225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66205 and 66225.

How to find the GCF of 66205 and 66225?

We will first find the prime factorization of 66205 and 66225. After we will calculate the factors of 66205 and 66225 and find the biggest common factor number .

Step-1: Prime Factorization of 66205

Prime factors of 66205 are 5, 13241. Prime factorization of 66205 in exponential form is:

66205 = 5¹ × 13241¹

Step-2: Prime Factorization of 66225

Prime factors of 66225 are 3, 5, 883. Prime factorization of 66225 in exponential form is:

66225 = 3¹ × 5² × 883¹

Step-3: Factors of 66205

List of positive integer factors of 66205 that divides 66205 without a remainder.

1, 5, 13241

Step-4: Factors of 66225

List of positive integer factors of 66225 that divides 66205 without a remainder.

1, 3, 5, 15, 25, 75, 883, 2649, 4415, 13245, 22075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66205 and 66225. The biggest common factor number is the GCF number.
So the greatest common factor 66205 and 66225 is 5.

Also check out the Least Common Multiple of 66205 and 66225