What is the Greatest Common Factor of 72912 and 72924?

Greatest common factor (GCF) of 72912 and 72924 is 12.

GCF(72912,72924) = 12

We will now calculate the prime factors of 72912 and 72924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72912 and 72924.

How to find the GCF of 72912 and 72924?

We will first find the prime factorization of 72912 and 72924. After we will calculate the factors of 72912 and 72924 and find the biggest common factor number .

Step-1: Prime Factorization of 72912

Prime factors of 72912 are 2, 3, 7, 31. Prime factorization of 72912 in exponential form is:

72912 = 2⁴ × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 72924

Prime factors of 72924 are 2, 3, 59, 103. Prime factorization of 72924 in exponential form is:

72924 = 2² × 3¹ × 59¹ × 103¹

Step-3: Factors of 72912

List of positive integer factors of 72912 that divides 72912 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 31, 42, 48, 49, 56, 62, 84, 93, 98, 112, 124, 147, 168, 186, 196, 217, 248, 294, 336, 372, 392, 434, 496, 588, 651, 744, 784, 868, 1176, 1302, 1488, 1519, 1736, 2352, 2604, 3038, 3472, 4557, 5208, 6076, 9114, 10416, 12152, 18228, 24304, 36456

Step-4: Factors of 72924

List of positive integer factors of 72924 that divides 72912 without a remainder.

1, 2, 3, 4, 6, 12, 59, 103, 118, 177, 206, 236, 309, 354, 412, 618, 708, 1236, 6077, 12154, 18231, 24308, 36462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72912 and 72924. The biggest common factor number is the GCF number.
So the greatest common factor 72912 and 72924 is 12.

Also check out the Least Common Multiple of 72912 and 72924