What is the Greatest Common Factor of 43719 and 43727?

Greatest common factor (GCF) of 43719 and 43727 is 1.

GCF(43719,43727) = 1

We will now calculate the prime factors of 43719 and 43727, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43719 and 43727.

How to find the GCF of 43719 and 43727?

We will first find the prime factorization of 43719 and 43727. After we will calculate the factors of 43719 and 43727 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 43727

Prime factors of 43727 are 73, 599. Prime factorization of 43727 in exponential form is:

43727 = 73¹ × 599¹

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 43727

List of positive integer factors of 43727 that divides 43719 without a remainder.

1, 73, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43719 and 43727. The biggest common factor number is the GCF number.
So the greatest common factor 43719 and 43727 is 1.

Also check out the Least Common Multiple of 43719 and 43727