What is the Greatest Common Factor of 72726 and 72732?

Greatest common factor (GCF) of 72726 and 72732 is 6.

GCF(72726,72732) = 6

We will now calculate the prime factors of 72726 and 72732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72726 and 72732.

How to find the GCF of 72726 and 72732?

We will first find the prime factorization of 72726 and 72732. After we will calculate the factors of 72726 and 72732 and find the biggest common factor number .

Step-1: Prime Factorization of 72726

Prime factors of 72726 are 2, 3, 17, 23, 31. Prime factorization of 72726 in exponential form is:

72726 = 2¹ × 3¹ × 17¹ × 23¹ × 31¹

Step-2: 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-3: Factors of 72726

List of positive integer factors of 72726 that divides 72726 without a remainder.

1, 2, 3, 6, 17, 23, 31, 34, 46, 51, 62, 69, 93, 102, 138, 186, 391, 527, 713, 782, 1054, 1173, 1426, 1581, 2139, 2346, 3162, 4278, 12121, 24242, 36363

Step-4: Factors of 72732

List of positive integer factors of 72732 that divides 72726 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72726 and 72732. The biggest common factor number is the GCF number.
So the greatest common factor 72726 and 72732 is 6.

Also check out the Least Common Multiple of 72726 and 72732