What is the Greatest Common Factor of 79332 and 79344?

Greatest common factor (GCF) of 79332 and 79344 is 12.

GCF(79332,79344) = 12

We will now calculate the prime factors of 79332 and 79344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79332 and 79344.

How to find the GCF of 79332 and 79344?

We will first find the prime factorization of 79332 and 79344. After we will calculate the factors of 79332 and 79344 and find the biggest common factor number .

Step-1: Prime Factorization of 79332

Prime factors of 79332 are 2, 3, 11, 601. Prime factorization of 79332 in exponential form is:

79332 = 2² × 3¹ × 11¹ × 601¹

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 79332

List of positive integer factors of 79332 that divides 79332 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 601, 1202, 1803, 2404, 3606, 6611, 7212, 13222, 19833, 26444, 39666

Step-4: Factors of 79344

List of positive integer factors of 79344 that divides 79332 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 79332 and 79344. The biggest common factor number is the GCF number.
So the greatest common factor 79332 and 79344 is 12.

Also check out the Least Common Multiple of 79332 and 79344