What is the Greatest Common Factor of 58725 and 58731?

Greatest common factor (GCF) of 58725 and 58731 is 3.

GCF(58725,58731) = 3

We will now calculate the prime factors of 58725 and 58731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58725 and 58731.

How to find the GCF of 58725 and 58731?

We will first find the prime factorization of 58725 and 58731. After we will calculate the factors of 58725 and 58731 and find the biggest common factor number .

Step-1: Prime Factorization of 58725

Prime factors of 58725 are 3, 5, 29. Prime factorization of 58725 in exponential form is:

58725 = 3⁴ × 5² × 29¹

Step-2: Prime Factorization of 58731

Prime factors of 58731 are 3, 19577. Prime factorization of 58731 in exponential form is:

58731 = 3¹ × 19577¹

Step-3: Factors of 58725

List of positive integer factors of 58725 that divides 58725 without a remainder.

1, 3, 5, 9, 15, 25, 27, 29, 45, 75, 81, 87, 135, 145, 225, 261, 405, 435, 675, 725, 783, 1305, 2025, 2175, 2349, 3915, 6525, 11745, 19575

Step-4: Factors of 58731

List of positive integer factors of 58731 that divides 58725 without a remainder.

1, 3, 19577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58725 and 58731. The biggest common factor number is the GCF number.
So the greatest common factor 58725 and 58731 is 3.

Also check out the Least Common Multiple of 58725 and 58731