What is the Greatest Common Factor of 81216 and 81228?

Greatest common factor (GCF) of 81216 and 81228 is 12.

GCF(81216,81228) = 12

We will now calculate the prime factors of 81216 and 81228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81216 and 81228.

How to find the GCF of 81216 and 81228?

We will first find the prime factorization of 81216 and 81228. After we will calculate the factors of 81216 and 81228 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 81228

Prime factors of 81228 are 2, 3, 7, 967. Prime factorization of 81228 in exponential form is:

81228 = 2² × 3¹ × 7¹ × 967¹

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 81228

List of positive integer factors of 81228 that divides 81216 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 967, 1934, 2901, 3868, 5802, 6769, 11604, 13538, 20307, 27076, 40614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81216 and 81228. The biggest common factor number is the GCF number.
So the greatest common factor 81216 and 81228 is 12.

Also check out the Least Common Multiple of 81216 and 81228