What is the Greatest Common Factor of 79282 and 79296?

Greatest common factor (GCF) of 79282 and 79296 is 14.

GCF(79282,79296) = 14

We will now calculate the prime factors of 79282 and 79296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79282 and 79296.

How to find the GCF of 79282 and 79296?

We will first find the prime factorization of 79282 and 79296. After we will calculate the factors of 79282 and 79296 and find the biggest common factor number .

Step-1: Prime Factorization of 79282

Prime factors of 79282 are 2, 7, 809. Prime factorization of 79282 in exponential form is:

79282 = 2¹ × 7² × 809¹

Step-2: 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-3: Factors of 79282

List of positive integer factors of 79282 that divides 79282 without a remainder.

1, 2, 7, 14, 49, 98, 809, 1618, 5663, 11326, 39641

Step-4: Factors of 79296

List of positive integer factors of 79296 that divides 79282 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79282 and 79296. The biggest common factor number is the GCF number.
So the greatest common factor 79282 and 79296 is 14.

Also check out the Least Common Multiple of 79282 and 79296