What is the Greatest Common Factor of 79325 and 79344?

Greatest common factor (GCF) of 79325 and 79344 is 19.

GCF(79325,79344) = 19

We will now calculate the prime factors of 79325 and 79344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79325 and 79344.

How to find the GCF of 79325 and 79344?

We will first find the prime factorization of 79325 and 79344. After we will calculate the factors of 79325 and 79344 and find the biggest common factor number .

Step-1: Prime Factorization of 79325

Prime factors of 79325 are 5, 19, 167. Prime factorization of 79325 in exponential form is:

79325 = 5² × 19¹ × 167¹

Step-2: 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-3: Factors of 79325

List of positive integer factors of 79325 that divides 79325 without a remainder.

1, 5, 19, 25, 95, 167, 475, 835, 3173, 4175, 15865

Step-4: Factors of 79344

List of positive integer factors of 79344 that divides 79325 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79325 and 79344. The biggest common factor number is the GCF number.
So the greatest common factor 79325 and 79344 is 19.

Also check out the Least Common Multiple of 79325 and 79344