What is the Greatest Common Factor of 72732 and 72739?

Greatest common factor (GCF) of 72732 and 72739 is 1.

GCF(72732,72739) = 1

We will now calculate the prime factors of 72732 and 72739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72732 and 72739.

How to find the GCF of 72732 and 72739?

We will first find the prime factorization of 72732 and 72739. After we will calculate the factors of 72732 and 72739 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 72739

Prime factors of 72739 are 72739. Prime factorization of 72739 in exponential form is:

72739 = 72739¹

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 72739

List of positive integer factors of 72739 that divides 72732 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72732 and 72739. The biggest common factor number is the GCF number.
So the greatest common factor 72732 and 72739 is 1.

Also check out the Least Common Multiple of 72732 and 72739