What is the Greatest Common Factor of 58448 and 58455?

Greatest common factor (GCF) of 58448 and 58455 is 1.

GCF(58448,58455) = 1

We will now calculate the prime factors of 58448 and 58455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58448 and 58455.

How to find the GCF of 58448 and 58455?

We will first find the prime factorization of 58448 and 58455. After we will calculate the factors of 58448 and 58455 and find the biggest common factor number .

Step-1: Prime Factorization of 58448

Prime factors of 58448 are 2, 13, 281. Prime factorization of 58448 in exponential form is:

58448 = 2⁴ × 13¹ × 281¹

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 58448

List of positive integer factors of 58448 that divides 58448 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 281, 562, 1124, 2248, 3653, 4496, 7306, 14612, 29224

Step-4: Factors of 58455

List of positive integer factors of 58455 that divides 58448 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 58448 and 58455. The biggest common factor number is the GCF number.
So the greatest common factor 58448 and 58455 is 1.

Also check out the Least Common Multiple of 58448 and 58455