What is the Greatest Common Factor of 79296 and 79305?

Greatest common factor (GCF) of 79296 and 79305 is 3.

GCF(79296,79305) = 3

We will now calculate the prime factors of 79296 and 79305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79296 and 79305.

How to find the GCF of 79296 and 79305?

We will first find the prime factorization of 79296 and 79305. After we will calculate the factors of 79296 and 79305 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79305

Prime factors of 79305 are 3, 5, 17, 311. Prime factorization of 79305 in exponential form is:

79305 = 3¹ × 5¹ × 17¹ × 311¹

Step-3: Factors of 79296

List of positive integer factors of 79296 that divides 79296 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

Step-4: Factors of 79305

List of positive integer factors of 79305 that divides 79296 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 311, 933, 1555, 4665, 5287, 15861, 26435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79296 and 79305. The biggest common factor number is the GCF number.
So the greatest common factor 79296 and 79305 is 3.

Also check out the Least Common Multiple of 79296 and 79305