What is the Greatest Common Factor of 58473 and 58487?

Greatest common factor (GCF) of 58473 and 58487 is 1.

GCF(58473,58487) = 1

We will now calculate the prime factors of 58473 and 58487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58473 and 58487.

How to find the GCF of 58473 and 58487?

We will first find the prime factorization of 58473 and 58487. After we will calculate the factors of 58473 and 58487 and find the biggest common factor number .

Step-1: Prime Factorization of 58473

Prime factors of 58473 are 3, 73, 89. Prime factorization of 58473 in exponential form is:

58473 = 3² × 73¹ × 89¹

Step-2: Prime Factorization of 58487

Prime factors of 58487 are 11, 13, 409. Prime factorization of 58487 in exponential form is:

58487 = 11¹ × 13¹ × 409¹

Step-3: Factors of 58473

List of positive integer factors of 58473 that divides 58473 without a remainder.

1, 3, 9, 73, 89, 219, 267, 657, 801, 6497, 19491

Step-4: Factors of 58487

List of positive integer factors of 58487 that divides 58473 without a remainder.

1, 11, 13, 143, 409, 4499, 5317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58473 and 58487. The biggest common factor number is the GCF number.
So the greatest common factor 58473 and 58487 is 1.

Also check out the Least Common Multiple of 58473 and 58487