What is the Greatest Common Factor of 87205 and 87223?

Greatest common factor (GCF) of 87205 and 87223 is 1.

GCF(87205,87223) = 1

We will now calculate the prime factors of 87205 and 87223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87205 and 87223.

How to find the GCF of 87205 and 87223?

We will first find the prime factorization of 87205 and 87223. After we will calculate the factors of 87205 and 87223 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 87223

Prime factors of 87223 are 87223. Prime factorization of 87223 in exponential form is:

87223 = 87223¹

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 87223

List of positive integer factors of 87223 that divides 87205 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87205 and 87223. The biggest common factor number is the GCF number.
So the greatest common factor 87205 and 87223 is 1.

Also check out the Least Common Multiple of 87205 and 87223