What is the Greatest Common Factor of 87205 and 87221?

Greatest common factor (GCF) of 87205 and 87221 is 1.

GCF(87205,87221) = 1

We will now calculate the prime factors of 87205 and 87221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87205 and 87221.

How to find the GCF of 87205 and 87221?

We will first find the prime factorization of 87205 and 87221. After we will calculate the factors of 87205 and 87221 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 87221

Prime factors of 87221 are 87221. Prime factorization of 87221 in exponential form is:

87221 = 87221¹

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 87221

List of positive integer factors of 87221 that divides 87205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87205 and 87221. The biggest common factor number is the GCF number.
So the greatest common factor 87205 and 87221 is 1.

Also check out the Least Common Multiple of 87205 and 87221