What is the Greatest Common Factor of 81225 and 81230?

Greatest common factor (GCF) of 81225 and 81230 is 5.

GCF(81225,81230) = 5

We will now calculate the prime factors of 81225 and 81230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81225 and 81230.

How to find the GCF of 81225 and 81230?

We will first find the prime factorization of 81225 and 81230. After we will calculate the factors of 81225 and 81230 and find the biggest common factor number .

Step-1: Prime Factorization of 81225

Prime factors of 81225 are 3, 5, 19. Prime factorization of 81225 in exponential form is:

81225 = 3² × 5² × 19²

Step-2: Prime Factorization of 81230

Prime factors of 81230 are 2, 5, 8123. Prime factorization of 81230 in exponential form is:

81230 = 2¹ × 5¹ × 8123¹

Step-3: Factors of 81225

List of positive integer factors of 81225 that divides 81225 without a remainder.

1, 3, 5, 9, 15, 19, 25, 45, 57, 75, 95, 171, 225, 285, 361, 475, 855, 1083, 1425, 1805, 3249, 4275, 5415, 9025, 16245, 27075

Step-4: Factors of 81230

List of positive integer factors of 81230 that divides 81225 without a remainder.

1, 2, 5, 10, 8123, 16246, 40615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81225 and 81230. The biggest common factor number is the GCF number.
So the greatest common factor 81225 and 81230 is 5.

Also check out the Least Common Multiple of 81225 and 81230