What is the Greatest Common Factor of 81350 and 81365?

Greatest common factor (GCF) of 81350 and 81365 is 5.

GCF(81350,81365) = 5

We will now calculate the prime factors of 81350 and 81365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81350 and 81365.

How to find the GCF of 81350 and 81365?

We will first find the prime factorization of 81350 and 81365. After we will calculate the factors of 81350 and 81365 and find the biggest common factor number .

Step-1: Prime Factorization of 81350

Prime factors of 81350 are 2, 5, 1627. Prime factorization of 81350 in exponential form is:

81350 = 2¹ × 5² × 1627¹

Step-2: Prime Factorization of 81365

Prime factors of 81365 are 5, 16273. Prime factorization of 81365 in exponential form is:

81365 = 5¹ × 16273¹

Step-3: Factors of 81350

List of positive integer factors of 81350 that divides 81350 without a remainder.

1, 2, 5, 10, 25, 50, 1627, 3254, 8135, 16270, 40675

Step-4: Factors of 81365

List of positive integer factors of 81365 that divides 81350 without a remainder.

1, 5, 16273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81350 and 81365. The biggest common factor number is the GCF number.
So the greatest common factor 81350 and 81365 is 5.

Also check out the Least Common Multiple of 81350 and 81365