What is the Greatest Common Factor of 58408 and 58423?

Greatest common factor (GCF) of 58408 and 58423 is 1.

GCF(58408,58423) = 1

We will now calculate the prime factors of 58408 and 58423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58408 and 58423.

How to find the GCF of 58408 and 58423?

We will first find the prime factorization of 58408 and 58423. After we will calculate the factors of 58408 and 58423 and find the biggest common factor number .

Step-1: Prime Factorization of 58408

Prime factors of 58408 are 2, 7, 149. Prime factorization of 58408 in exponential form is:

58408 = 2³ × 7² × 149¹

Step-2: Prime Factorization of 58423

Prime factors of 58423 are 37, 1579. Prime factorization of 58423 in exponential form is:

58423 = 37¹ × 1579¹

Step-3: Factors of 58408

List of positive integer factors of 58408 that divides 58408 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 149, 196, 298, 392, 596, 1043, 1192, 2086, 4172, 7301, 8344, 14602, 29204

Step-4: Factors of 58423

List of positive integer factors of 58423 that divides 58408 without a remainder.

1, 37, 1579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58408 and 58423. The biggest common factor number is the GCF number.
So the greatest common factor 58408 and 58423 is 1.

Also check out the Least Common Multiple of 58408 and 58423