What is the Greatest Common Factor of 43725 and 43745?

Greatest common factor (GCF) of 43725 and 43745 is 5.

GCF(43725,43745) = 5

We will now calculate the prime factors of 43725 and 43745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43725 and 43745.

How to find the GCF of 43725 and 43745?

We will first find the prime factorization of 43725 and 43745. After we will calculate the factors of 43725 and 43745 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 43745

Prime factors of 43745 are 5, 13, 673. Prime factorization of 43745 in exponential form is:

43745 = 5¹ × 13¹ × 673¹

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 43745

List of positive integer factors of 43745 that divides 43725 without a remainder.

1, 5, 13, 65, 673, 3365, 8749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43725 and 43745. The biggest common factor number is the GCF number.
So the greatest common factor 43725 and 43745 is 5.

Also check out the Least Common Multiple of 43725 and 43745