What is the Greatest Common Factor of 79344 and 79357?

Greatest common factor (GCF) of 79344 and 79357 is 1.

GCF(79344,79357) = 1

We will now calculate the prime factors of 79344 and 79357, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79344 and 79357.

How to find the GCF of 79344 and 79357?

We will first find the prime factorization of 79344 and 79357. After we will calculate the factors of 79344 and 79357 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 79357

Prime factors of 79357 are 79357. Prime factorization of 79357 in exponential form is:

79357 = 79357¹

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 79357

List of positive integer factors of 79357 that divides 79344 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79344 and 79357. The biggest common factor number is the GCF number.
So the greatest common factor 79344 and 79357 is 1.

Also check out the Least Common Multiple of 79344 and 79357