What is the Greatest Common Factor of 58404 and 58417?

Greatest common factor (GCF) of 58404 and 58417 is 1.

GCF(58404,58417) = 1

We will now calculate the prime factors of 58404 and 58417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58404 and 58417.

How to find the GCF of 58404 and 58417?

We will first find the prime factorization of 58404 and 58417. After we will calculate the factors of 58404 and 58417 and find the biggest common factor number .

Step-1: Prime Factorization of 58404

Prime factors of 58404 are 2, 3, 31, 157. Prime factorization of 58404 in exponential form is:

58404 = 2² × 3¹ × 31¹ × 157¹

Step-2: Prime Factorization of 58417

Prime factors of 58417 are 58417. Prime factorization of 58417 in exponential form is:

58417 = 58417¹

Step-3: Factors of 58404

List of positive integer factors of 58404 that divides 58404 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 157, 186, 314, 372, 471, 628, 942, 1884, 4867, 9734, 14601, 19468, 29202

Step-4: Factors of 58417

List of positive integer factors of 58417 that divides 58404 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58404 and 58417. The biggest common factor number is the GCF number.
So the greatest common factor 58404 and 58417 is 1.

Also check out the Least Common Multiple of 58404 and 58417