What is the Greatest Common Factor of 79281 and 79296?

Greatest common factor (GCF) of 79281 and 79296 is 3.

GCF(79281,79296) = 3

We will now calculate the prime factors of 79281 and 79296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79281 and 79296.

How to find the GCF of 79281 and 79296?

We will first find the prime factorization of 79281 and 79296. After we will calculate the factors of 79281 and 79296 and find the biggest common factor number .

Step-1: Prime Factorization of 79281

Prime factors of 79281 are 3, 23, 383. Prime factorization of 79281 in exponential form is:

79281 = 3² × 23¹ × 383¹

Step-2: Prime Factorization of 79296

Prime factors of 79296 are 2, 3, 7, 59. Prime factorization of 79296 in exponential form is:

79296 = 2⁶ × 3¹ × 7¹ × 59¹

Step-3: Factors of 79281

List of positive integer factors of 79281 that divides 79281 without a remainder.

1, 3, 9, 23, 69, 207, 383, 1149, 3447, 8809, 26427

Step-4: Factors of 79296

List of positive integer factors of 79296 that divides 79281 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 59, 64, 84, 96, 112, 118, 168, 177, 192, 224, 236, 336, 354, 413, 448, 472, 672, 708, 826, 944, 1239, 1344, 1416, 1652, 1888, 2478, 2832, 3304, 3776, 4956, 5664, 6608, 9912, 11328, 13216, 19824, 26432, 39648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79281 and 79296. The biggest common factor number is the GCF number.
So the greatest common factor 79281 and 79296 is 3.

Also check out the Least Common Multiple of 79281 and 79296