What is the Greatest Common Factor of 79296 and 79311?

Greatest common factor (GCF) of 79296 and 79311 is 3.

GCF(79296,79311) = 3

We will now calculate the prime factors of 79296 and 79311, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79296 and 79311.

How to find the GCF of 79296 and 79311?

We will first find the prime factorization of 79296 and 79311. After we will calculate the factors of 79296 and 79311 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 79311

Prime factors of 79311 are 3, 26437. Prime factorization of 79311 in exponential form is:

79311 = 3¹ × 26437¹

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 79311

List of positive integer factors of 79311 that divides 79296 without a remainder.

1, 3, 26437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79296 and 79311. The biggest common factor number is the GCF number.
So the greatest common factor 79296 and 79311 is 3.

Also check out the Least Common Multiple of 79296 and 79311