What is the Greatest Common Factor of 43719 and 43728?

Greatest common factor (GCF) of 43719 and 43728 is 3.

GCF(43719,43728) = 3

We will now calculate the prime factors of 43719 and 43728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43719 and 43728.

How to find the GCF of 43719 and 43728?

We will first find the prime factorization of 43719 and 43728. After we will calculate the factors of 43719 and 43728 and find the biggest common factor number .

Step-1: Prime Factorization of 43719

Prime factors of 43719 are 3, 13, 19, 59. Prime factorization of 43719 in exponential form is:

43719 = 3¹ × 13¹ × 19¹ × 59¹

Step-2: Prime Factorization of 43728

Prime factors of 43728 are 2, 3, 911. Prime factorization of 43728 in exponential form is:

43728 = 2⁴ × 3¹ × 911¹

Step-3: Factors of 43719

List of positive integer factors of 43719 that divides 43719 without a remainder.

1, 3, 13, 19, 39, 57, 59, 177, 247, 741, 767, 1121, 2301, 3363, 14573

Step-4: Factors of 43728

List of positive integer factors of 43728 that divides 43719 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 911, 1822, 2733, 3644, 5466, 7288, 10932, 14576, 21864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43719 and 43728. The biggest common factor number is the GCF number.
So the greatest common factor 43719 and 43728 is 3.

Also check out the Least Common Multiple of 43719 and 43728