What is the Greatest Common Factor of 58458 and 58467?

Greatest common factor (GCF) of 58458 and 58467 is 3.

GCF(58458,58467) = 3

We will now calculate the prime factors of 58458 and 58467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58458 and 58467.

How to find the GCF of 58458 and 58467?

We will first find the prime factorization of 58458 and 58467. After we will calculate the factors of 58458 and 58467 and find the biggest common factor number .

Step-1: Prime Factorization of 58458

Prime factors of 58458 are 2, 3, 9743. Prime factorization of 58458 in exponential form is:

58458 = 2¹ × 3¹ × 9743¹

Step-2: Prime Factorization of 58467

Prime factors of 58467 are 3, 19489. Prime factorization of 58467 in exponential form is:

58467 = 3¹ × 19489¹

Step-3: Factors of 58458

List of positive integer factors of 58458 that divides 58458 without a remainder.

1, 2, 3, 6, 9743, 19486, 29229

Step-4: Factors of 58467

List of positive integer factors of 58467 that divides 58458 without a remainder.

1, 3, 19489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58458 and 58467. The biggest common factor number is the GCF number.
So the greatest common factor 58458 and 58467 is 3.

Also check out the Least Common Multiple of 58458 and 58467