What is the Greatest Common Factor of 58408 and 58424?

Greatest common factor (GCF) of 58408 and 58424 is 8.

GCF(58408,58424) = 8

We will now calculate the prime factors of 58408 and 58424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58408 and 58424.

How to find the GCF of 58408 and 58424?

We will first find the prime factorization of 58408 and 58424. After we will calculate the factors of 58408 and 58424 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 58424

Prime factors of 58424 are 2, 67, 109. Prime factorization of 58424 in exponential form is:

58424 = 2³ × 67¹ × 109¹

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 58424

List of positive integer factors of 58424 that divides 58408 without a remainder.

1, 2, 4, 8, 67, 109, 134, 218, 268, 436, 536, 872, 7303, 14606, 29212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58408 and 58424. The biggest common factor number is the GCF number.
So the greatest common factor 58408 and 58424 is 8.

Also check out the Least Common Multiple of 58408 and 58424