What is the Greatest Common Factor of 39723 and 39732?

Greatest common factor (GCF) of 39723 and 39732 is 3.

GCF(39723,39732) = 3

We will now calculate the prime factors of 39723 and 39732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39723 and 39732.

How to find the GCF of 39723 and 39732?

We will first find the prime factorization of 39723 and 39732. After we will calculate the factors of 39723 and 39732 and find the biggest common factor number .

Step-1: Prime Factorization of 39723

Prime factors of 39723 are 3, 13241. Prime factorization of 39723 in exponential form is:

39723 = 3¹ × 13241¹

Step-2: Prime Factorization of 39732

Prime factors of 39732 are 2, 3, 7, 11, 43. Prime factorization of 39732 in exponential form is:

39732 = 2² × 3¹ × 7¹ × 11¹ × 43¹

Step-3: Factors of 39723

List of positive integer factors of 39723 that divides 39723 without a remainder.

1, 3, 13241

Step-4: Factors of 39732

List of positive integer factors of 39732 that divides 39723 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 43, 44, 66, 77, 84, 86, 129, 132, 154, 172, 231, 258, 301, 308, 462, 473, 516, 602, 903, 924, 946, 1204, 1419, 1806, 1892, 2838, 3311, 3612, 5676, 6622, 9933, 13244, 19866

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39723 and 39732. The biggest common factor number is the GCF number.
So the greatest common factor 39723 and 39732 is 3.

Also check out the Least Common Multiple of 39723 and 39732