What is the Greatest Common Factor of 81204 and 81216?

Greatest common factor (GCF) of 81204 and 81216 is 12.

GCF(81204,81216) = 12

We will now calculate the prime factors of 81204 and 81216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81204 and 81216.

How to find the GCF of 81204 and 81216?

We will first find the prime factorization of 81204 and 81216. After we will calculate the factors of 81204 and 81216 and find the biggest common factor number .

Step-1: Prime Factorization of 81204

Prime factors of 81204 are 2, 3, 67, 101. Prime factorization of 81204 in exponential form is:

81204 = 2² × 3¹ × 67¹ × 101¹

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 81204

List of positive integer factors of 81204 that divides 81204 without a remainder.

1, 2, 3, 4, 6, 12, 67, 101, 134, 201, 202, 268, 303, 402, 404, 606, 804, 1212, 6767, 13534, 20301, 27068, 40602

Step-4: Factors of 81216

List of positive integer factors of 81216 that divides 81204 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 81204 and 81216. The biggest common factor number is the GCF number.
So the greatest common factor 81204 and 81216 is 12.

Also check out the Least Common Multiple of 81204 and 81216