What is the Greatest Common Factor of 81216 and 81230?

Greatest common factor (GCF) of 81216 and 81230 is 2.

GCF(81216,81230) = 2

We will now calculate the prime factors of 81216 and 81230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81216 and 81230.

How to find the GCF of 81216 and 81230?

We will first find the prime factorization of 81216 and 81230. After we will calculate the factors of 81216 and 81230 and find the biggest common factor number .

Step-1: 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-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 81216

List of positive integer factors of 81216 that divides 81216 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

Step-4: Factors of 81230

List of positive integer factors of 81230 that divides 81216 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81216 and 81230. The biggest common factor number is the GCF number.
So the greatest common factor 81216 and 81230 is 2.

Also check out the Least Common Multiple of 81216 and 81230