What is the Greatest Common Factor of 58455 and 58473?

Greatest common factor (GCF) of 58455 and 58473 is 9.

GCF(58455,58473) = 9

We will now calculate the prime factors of 58455 and 58473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58455 and 58473.

How to find the GCF of 58455 and 58473?

We will first find the prime factorization of 58455 and 58473. After we will calculate the factors of 58455 and 58473 and find the biggest common factor number .

Step-1: Prime Factorization of 58455

Prime factors of 58455 are 3, 5, 433. Prime factorization of 58455 in exponential form is:

58455 = 3³ × 5¹ × 433¹

Step-2: 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-3: Factors of 58455

List of positive integer factors of 58455 that divides 58455 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 433, 1299, 2165, 3897, 6495, 11691, 19485

Step-4: Factors of 58473

List of positive integer factors of 58473 that divides 58455 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58455 and 58473. The biggest common factor number is the GCF number.
So the greatest common factor 58455 and 58473 is 9.

Also check out the Least Common Multiple of 58455 and 58473