What is the Greatest Common Factor of 81205 and 81215?

Greatest common factor (GCF) of 81205 and 81215 is 5.

GCF(81205,81215) = 5

We will now calculate the prime factors of 81205 and 81215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81205 and 81215.

How to find the GCF of 81205 and 81215?

We will first find the prime factorization of 81205 and 81215. After we will calculate the factors of 81205 and 81215 and find the biggest common factor number .

Step-1: Prime Factorization of 81205

Prime factors of 81205 are 5, 109, 149. Prime factorization of 81205 in exponential form is:

81205 = 5¹ × 109¹ × 149¹

Step-2: Prime Factorization of 81215

Prime factors of 81215 are 5, 37, 439. Prime factorization of 81215 in exponential form is:

81215 = 5¹ × 37¹ × 439¹

Step-3: Factors of 81205

List of positive integer factors of 81205 that divides 81205 without a remainder.

1, 5, 109, 149, 545, 745, 16241

Step-4: Factors of 81215

List of positive integer factors of 81215 that divides 81205 without a remainder.

1, 5, 37, 185, 439, 2195, 16243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81205 and 81215. The biggest common factor number is the GCF number.
So the greatest common factor 81205 and 81215 is 5.

Also check out the Least Common Multiple of 81205 and 81215