What is the Greatest Common Factor of 79344 and 79356?

Greatest common factor (GCF) of 79344 and 79356 is 12.

GCF(79344,79356) = 12

We will now calculate the prime factors of 79344 and 79356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79344 and 79356.

How to find the GCF of 79344 and 79356?

We will first find the prime factorization of 79344 and 79356. After we will calculate the factors of 79344 and 79356 and find the biggest common factor number .

Step-1: Prime Factorization of 79344

Prime factors of 79344 are 2, 3, 19, 29. Prime factorization of 79344 in exponential form is:

79344 = 2⁴ × 3² × 19¹ × 29¹

Step-2: Prime Factorization of 79356

Prime factors of 79356 are 2, 3, 17, 389. Prime factorization of 79356 in exponential form is:

79356 = 2² × 3¹ × 17¹ × 389¹

Step-3: Factors of 79344

List of positive integer factors of 79344 that divides 79344 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 29, 36, 38, 48, 57, 58, 72, 76, 87, 114, 116, 144, 152, 171, 174, 228, 232, 261, 304, 342, 348, 456, 464, 522, 551, 684, 696, 912, 1044, 1102, 1368, 1392, 1653, 2088, 2204, 2736, 3306, 4176, 4408, 4959, 6612, 8816, 9918, 13224, 19836, 26448, 39672

Step-4: Factors of 79356

List of positive integer factors of 79356 that divides 79344 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 389, 778, 1167, 1556, 2334, 4668, 6613, 13226, 19839, 26452, 39678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79344 and 79356. The biggest common factor number is the GCF number.
So the greatest common factor 79344 and 79356 is 12.

Also check out the Least Common Multiple of 79344 and 79356