What is the Greatest Common Factor of 81396 and 81408?

Greatest common factor (GCF) of 81396 and 81408 is 12.

GCF(81396,81408) = 12

We will now calculate the prime factors of 81396 and 81408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81396 and 81408.

How to find the GCF of 81396 and 81408?

We will first find the prime factorization of 81396 and 81408. After we will calculate the factors of 81396 and 81408 and find the biggest common factor number .

Step-1: Prime Factorization of 81396

Prime factors of 81396 are 2, 3, 7, 17, 19. Prime factorization of 81396 in exponential form is:

81396 = 2² × 3² × 7¹ × 17¹ × 19¹

Step-2: Prime Factorization of 81408

Prime factors of 81408 are 2, 3, 53. Prime factorization of 81408 in exponential form is:

81408 = 2⁹ × 3¹ × 53¹

Step-3: Factors of 81396

List of positive integer factors of 81396 that divides 81396 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 19, 21, 28, 34, 36, 38, 42, 51, 57, 63, 68, 76, 84, 102, 114, 119, 126, 133, 153, 171, 204, 228, 238, 252, 266, 306, 323, 342, 357, 399, 476, 532, 612, 646, 684, 714, 798, 969, 1071, 1197, 1292, 1428, 1596, 1938, 2142, 2261, 2394, 2907, 3876, 4284, 4522, 4788, 5814, 6783, 9044, 11628, 13566, 20349, 27132, 40698

Step-4: Factors of 81408

List of positive integer factors of 81408 that divides 81396 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 64, 96, 106, 128, 159, 192, 212, 256, 318, 384, 424, 512, 636, 768, 848, 1272, 1536, 1696, 2544, 3392, 5088, 6784, 10176, 13568, 20352, 27136, 40704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81396 and 81408. The biggest common factor number is the GCF number.
So the greatest common factor 81396 and 81408 is 12.

Also check out the Least Common Multiple of 81396 and 81408