What is the Greatest Common Factor of 81225 and 81241?

Greatest common factor (GCF) of 81225 and 81241 is 1.

GCF(81225,81241) = 1

We will now calculate the prime factors of 81225 and 81241, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81225 and 81241.

How to find the GCF of 81225 and 81241?

We will first find the prime factorization of 81225 and 81241. After we will calculate the factors of 81225 and 81241 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 81241

Prime factors of 81241 are 137, 593. Prime factorization of 81241 in exponential form is:

81241 = 137¹ × 593¹

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 81241

List of positive integer factors of 81241 that divides 81225 without a remainder.

1, 137, 593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81225 and 81241. The biggest common factor number is the GCF number.
So the greatest common factor 81225 and 81241 is 1.

Also check out the Least Common Multiple of 81225 and 81241