What is the Greatest Common Factor of 81209 and 81216?

Greatest common factor (GCF) of 81209 and 81216 is 1.

GCF(81209,81216) = 1

We will now calculate the prime factors of 81209 and 81216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81209 and 81216.

How to find the GCF of 81209 and 81216?

We will first find the prime factorization of 81209 and 81216. After we will calculate the factors of 81209 and 81216 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 81216

Prime factors of 81216 are 2, 3, 47. Prime factorization of 81216 in exponential form is:

81216 = 2⁶ × 3³ × 47¹

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 81216

List of positive integer factors of 81216 that divides 81209 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 47, 48, 54, 64, 72, 94, 96, 108, 141, 144, 188, 192, 216, 282, 288, 376, 423, 432, 564, 576, 752, 846, 864, 1128, 1269, 1504, 1692, 1728, 2256, 2538, 3008, 3384, 4512, 5076, 6768, 9024, 10152, 13536, 20304, 27072, 40608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81209 and 81216. The biggest common factor number is the GCF number.
So the greatest common factor 81209 and 81216 is 1.

Also check out the Least Common Multiple of 81209 and 81216