What is the Greatest Common Factor of 72912 and 72927?

Greatest common factor (GCF) of 72912 and 72927 is 3.

GCF(72912,72927) = 3

We will now calculate the prime factors of 72912 and 72927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72912 and 72927.

How to find the GCF of 72912 and 72927?

We will first find the prime factorization of 72912 and 72927. After we will calculate the factors of 72912 and 72927 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 72927

Prime factors of 72927 are 3, 37, 73. Prime factorization of 72927 in exponential form is:

72927 = 3³ × 37¹ × 73¹

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 72927

List of positive integer factors of 72927 that divides 72912 without a remainder.

1, 3, 9, 27, 37, 73, 111, 219, 333, 657, 999, 1971, 2701, 8103, 24309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72912 and 72927. The biggest common factor number is the GCF number.
So the greatest common factor 72912 and 72927 is 3.

Also check out the Least Common Multiple of 72912 and 72927