What is the Greatest Common Factor of 79296 and 79316?

Greatest common factor (GCF) of 79296 and 79316 is 4.

GCF(79296,79316) = 4

We will now calculate the prime factors of 79296 and 79316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79296 and 79316.

How to find the GCF of 79296 and 79316?

We will first find the prime factorization of 79296 and 79316. After we will calculate the factors of 79296 and 79316 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 79316

Prime factors of 79316 are 2, 79, 251. Prime factorization of 79316 in exponential form is:

79316 = 2² × 79¹ × 251¹

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 79316

List of positive integer factors of 79316 that divides 79296 without a remainder.

1, 2, 4, 79, 158, 251, 316, 502, 1004, 19829, 39658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79296 and 79316. The biggest common factor number is the GCF number.
So the greatest common factor 79296 and 79316 is 4.

Also check out the Least Common Multiple of 79296 and 79316