What is the Greatest Common Factor of 58440 and 58455?

Greatest common factor (GCF) of 58440 and 58455 is 15.

GCF(58440,58455) = 15

We will now calculate the prime factors of 58440 and 58455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58440 and 58455.

How to find the GCF of 58440 and 58455?

We will first find the prime factorization of 58440 and 58455. After we will calculate the factors of 58440 and 58455 and find the biggest common factor number .

Step-1: Prime Factorization of 58440

Prime factors of 58440 are 2, 3, 5, 487. Prime factorization of 58440 in exponential form is:

58440 = 2³ × 3¹ × 5¹ × 487¹

Step-2: 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-3: Factors of 58440

List of positive integer factors of 58440 that divides 58440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 487, 974, 1461, 1948, 2435, 2922, 3896, 4870, 5844, 7305, 9740, 11688, 14610, 19480, 29220

Step-4: Factors of 58455

List of positive integer factors of 58455 that divides 58440 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58440 and 58455. The biggest common factor number is the GCF number.
So the greatest common factor 58440 and 58455 is 15.

Also check out the Least Common Multiple of 58440 and 58455