What is the Greatest Common Factor of 81209 and 81225?

Greatest common factor (GCF) of 81209 and 81225 is 1.

GCF(81209,81225) = 1

We will now calculate the prime factors of 81209 and 81225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81209 and 81225.

How to find the GCF of 81209 and 81225?

We will first find the prime factorization of 81209 and 81225. After we will calculate the factors of 81209 and 81225 and find the biggest common factor number .

Step-1: Prime Factorization of 81209

Prime factors of 81209 are 17, 281. Prime factorization of 81209 in exponential form is:

81209 = 17² × 281¹

Step-2: 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-3: Factors of 81209

List of positive integer factors of 81209 that divides 81209 without a remainder.

1, 17, 281, 289, 4777

Step-4: Factors of 81225

List of positive integer factors of 81225 that divides 81209 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81209 and 81225. The biggest common factor number is the GCF number.
So the greatest common factor 81209 and 81225 is 1.

Also check out the Least Common Multiple of 81209 and 81225