What is the Greatest Common Factor of 79296 and 79302?

Greatest common factor (GCF) of 79296 and 79302 is 6.

GCF(79296,79302) = 6

We will now calculate the prime factors of 79296 and 79302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79296 and 79302.

How to find the GCF of 79296 and 79302?

We will first find the prime factorization of 79296 and 79302. After we will calculate the factors of 79296 and 79302 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 79302

Prime factors of 79302 are 2, 3, 13217. Prime factorization of 79302 in exponential form is:

79302 = 2¹ × 3¹ × 13217¹

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 79302

List of positive integer factors of 79302 that divides 79296 without a remainder.

1, 2, 3, 6, 13217, 26434, 39651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79296 and 79302. The biggest common factor number is the GCF number.
So the greatest common factor 79296 and 79302 is 6.

Also check out the Least Common Multiple of 79296 and 79302