What is the Greatest Common Factor of 72732 and 72747?

Greatest common factor (GCF) of 72732 and 72747 is 3.

GCF(72732,72747) = 3

We will now calculate the prime factors of 72732 and 72747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72732 and 72747.

How to find the GCF of 72732 and 72747?

We will first find the prime factorization of 72732 and 72747. After we will calculate the factors of 72732 and 72747 and find the biggest common factor number .

Step-1: Prime Factorization of 72732

Prime factors of 72732 are 2, 3, 11, 19, 29. Prime factorization of 72732 in exponential form is:

72732 = 2² × 3¹ × 11¹ × 19¹ × 29¹

Step-2: Prime Factorization of 72747

Prime factors of 72747 are 3, 59, 137. Prime factorization of 72747 in exponential form is:

72747 = 3² × 59¹ × 137¹

Step-3: Factors of 72732

List of positive integer factors of 72732 that divides 72732 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 29, 33, 38, 44, 57, 58, 66, 76, 87, 114, 116, 132, 174, 209, 228, 319, 348, 418, 551, 627, 638, 836, 957, 1102, 1254, 1276, 1653, 1914, 2204, 2508, 3306, 3828, 6061, 6612, 12122, 18183, 24244, 36366

Step-4: Factors of 72747

List of positive integer factors of 72747 that divides 72732 without a remainder.

1, 3, 9, 59, 137, 177, 411, 531, 1233, 8083, 24249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72732 and 72747. The biggest common factor number is the GCF number.
So the greatest common factor 72732 and 72747 is 3.

Also check out the Least Common Multiple of 72732 and 72747