What is the Greatest Common Factor of 81205 and 81212?

Greatest common factor (GCF) of 81205 and 81212 is 1.

GCF(81205,81212) = 1

We will now calculate the prime factors of 81205 and 81212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81205 and 81212.

How to find the GCF of 81205 and 81212?

We will first find the prime factorization of 81205 and 81212. After we will calculate the factors of 81205 and 81212 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 81212

Prime factors of 81212 are 2, 79, 257. Prime factorization of 81212 in exponential form is:

81212 = 2² × 79¹ × 257¹

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 81212

List of positive integer factors of 81212 that divides 81205 without a remainder.

1, 2, 4, 79, 158, 257, 316, 514, 1028, 20303, 40606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81205 and 81212. The biggest common factor number is the GCF number.
So the greatest common factor 81205 and 81212 is 1.

Also check out the Least Common Multiple of 81205 and 81212