What is the Greatest Common Factor of 79296 and 79300?

Greatest common factor (GCF) of 79296 and 79300 is 4.

GCF(79296,79300) = 4

We will now calculate the prime factors of 79296 and 79300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79296 and 79300.

How to find the GCF of 79296 and 79300?

We will first find the prime factorization of 79296 and 79300. After we will calculate the factors of 79296 and 79300 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 79300

Prime factors of 79300 are 2, 5, 13, 61. Prime factorization of 79300 in exponential form is:

79300 = 2² × 5² × 13¹ × 61¹

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 79300

List of positive integer factors of 79300 that divides 79296 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 61, 65, 100, 122, 130, 244, 260, 305, 325, 610, 650, 793, 1220, 1300, 1525, 1586, 3050, 3172, 3965, 6100, 7930, 15860, 19825, 39650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79296 and 79300. The biggest common factor number is the GCF number.
So the greatest common factor 79296 and 79300 is 4.

Also check out the Least Common Multiple of 79296 and 79300