What is the Greatest Common Factor of 79344 and 79353?

Greatest common factor (GCF) of 79344 and 79353 is 9.

GCF(79344,79353) = 9

We will now calculate the prime factors of 79344 and 79353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79344 and 79353.

How to find the GCF of 79344 and 79353?

We will first find the prime factorization of 79344 and 79353. After we will calculate the factors of 79344 and 79353 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 79353

Prime factors of 79353 are 3, 2939. Prime factorization of 79353 in exponential form is:

79353 = 3³ × 2939¹

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 79353

List of positive integer factors of 79353 that divides 79344 without a remainder.

1, 3, 9, 27, 2939, 8817, 26451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79344 and 79353. The biggest common factor number is the GCF number.
So the greatest common factor 79344 and 79353 is 9.

Also check out the Least Common Multiple of 79344 and 79353