What is the Greatest Common Factor of 43725 and 43739?

Greatest common factor (GCF) of 43725 and 43739 is 1.

GCF(43725,43739) = 1

We will now calculate the prime factors of 43725 and 43739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43725 and 43739.

How to find the GCF of 43725 and 43739?

We will first find the prime factorization of 43725 and 43739. After we will calculate the factors of 43725 and 43739 and find the biggest common factor number .

Step-1: Prime Factorization of 43725

Prime factors of 43725 are 3, 5, 11, 53. Prime factorization of 43725 in exponential form is:

43725 = 3¹ × 5² × 11¹ × 53¹

Step-2: Prime Factorization of 43739

Prime factors of 43739 are 191, 229. Prime factorization of 43739 in exponential form is:

43739 = 191¹ × 229¹

Step-3: Factors of 43725

List of positive integer factors of 43725 that divides 43725 without a remainder.

1, 3, 5, 11, 15, 25, 33, 53, 55, 75, 159, 165, 265, 275, 583, 795, 825, 1325, 1749, 2915, 3975, 8745, 14575

Step-4: Factors of 43739

List of positive integer factors of 43739 that divides 43725 without a remainder.

1, 191, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43725 and 43739. The biggest common factor number is the GCF number.
So the greatest common factor 43725 and 43739 is 1.

Also check out the Least Common Multiple of 43725 and 43739