What is the Greatest Common Factor of 79344 and 79352?

Greatest common factor (GCF) of 79344 and 79352 is 8.

GCF(79344,79352) = 8

We will now calculate the prime factors of 79344 and 79352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79344 and 79352.

How to find the GCF of 79344 and 79352?

We will first find the prime factorization of 79344 and 79352. After we will calculate the factors of 79344 and 79352 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 79352

Prime factors of 79352 are 2, 7, 13, 109. Prime factorization of 79352 in exponential form is:

79352 = 2³ × 7¹ × 13¹ × 109¹

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 79352

List of positive integer factors of 79352 that divides 79344 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 109, 182, 218, 364, 436, 728, 763, 872, 1417, 1526, 2834, 3052, 5668, 6104, 9919, 11336, 19838, 39676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79344 and 79352. The biggest common factor number is the GCF number.
So the greatest common factor 79344 and 79352 is 8.

Also check out the Least Common Multiple of 79344 and 79352