What is the Greatest Common Factor of 58725 and 58729?

Greatest common factor (GCF) of 58725 and 58729 is 1.

GCF(58725,58729) = 1

We will now calculate the prime factors of 58725 and 58729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58725 and 58729.

How to find the GCF of 58725 and 58729?

We will first find the prime factorization of 58725 and 58729. After we will calculate the factors of 58725 and 58729 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 58729

Prime factors of 58729 are 11, 19, 281. Prime factorization of 58729 in exponential form is:

58729 = 11¹ × 19¹ × 281¹

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 58729

List of positive integer factors of 58729 that divides 58725 without a remainder.

1, 11, 19, 209, 281, 3091, 5339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58725 and 58729. The biggest common factor number is the GCF number.
So the greatest common factor 58725 and 58729 is 1.

Also check out the Least Common Multiple of 58725 and 58729