What is the Greatest Common Factor of 87205 and 87215?

Greatest common factor (GCF) of 87205 and 87215 is 5.

GCF(87205,87215) = 5

We will now calculate the prime factors of 87205 and 87215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87205 and 87215.

How to find the GCF of 87205 and 87215?

We will first find the prime factorization of 87205 and 87215. After we will calculate the factors of 87205 and 87215 and find the biggest common factor number .

Step-1: Prime Factorization of 87205

Prime factors of 87205 are 5, 107, 163. Prime factorization of 87205 in exponential form is:

87205 = 5¹ × 107¹ × 163¹

Step-2: Prime Factorization of 87215

Prime factors of 87215 are 5, 17443. Prime factorization of 87215 in exponential form is:

87215 = 5¹ × 17443¹

Step-3: Factors of 87205

List of positive integer factors of 87205 that divides 87205 without a remainder.

1, 5, 107, 163, 535, 815, 17441

Step-4: Factors of 87215

List of positive integer factors of 87215 that divides 87205 without a remainder.

1, 5, 17443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87205 and 87215. The biggest common factor number is the GCF number.
So the greatest common factor 87205 and 87215 is 5.

Also check out the Least Common Multiple of 87205 and 87215