What is the Greatest Common Factor of 43725 and 43737?

Greatest common factor (GCF) of 43725 and 43737 is 3.

GCF(43725,43737) = 3

We will now calculate the prime factors of 43725 and 43737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43725 and 43737.

How to find the GCF of 43725 and 43737?

We will first find the prime factorization of 43725 and 43737. After we will calculate the factors of 43725 and 43737 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 43737

Prime factors of 43737 are 3, 61, 239. Prime factorization of 43737 in exponential form is:

43737 = 3¹ × 61¹ × 239¹

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 43737

List of positive integer factors of 43737 that divides 43725 without a remainder.

1, 3, 61, 183, 239, 717, 14579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43725 and 43737. The biggest common factor number is the GCF number.
So the greatest common factor 43725 and 43737 is 3.

Also check out the Least Common Multiple of 43725 and 43737