What is the Greatest Common Factor of 79296 and 79310?

Greatest common factor (GCF) of 79296 and 79310 is 14.

GCF(79296,79310) = 14

We will now calculate the prime factors of 79296 and 79310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79296 and 79310.

How to find the GCF of 79296 and 79310?

We will first find the prime factorization of 79296 and 79310. After we will calculate the factors of 79296 and 79310 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 79310

Prime factors of 79310 are 2, 5, 7, 11, 103. Prime factorization of 79310 in exponential form is:

79310 = 2¹ × 5¹ × 7¹ × 11¹ × 103¹

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 79310

List of positive integer factors of 79310 that divides 79296 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 103, 110, 154, 206, 385, 515, 721, 770, 1030, 1133, 1442, 2266, 3605, 5665, 7210, 7931, 11330, 15862, 39655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79296 and 79310. The biggest common factor number is the GCF number.
So the greatest common factor 79296 and 79310 is 14.

Also check out the Least Common Multiple of 79296 and 79310