What is the Greatest Common Factor of 58401 and 58408?

Greatest common factor (GCF) of 58401 and 58408 is 7.

GCF(58401,58408) = 7

We will now calculate the prime factors of 58401 and 58408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58401 and 58408.

How to find the GCF of 58401 and 58408?

We will first find the prime factorization of 58401 and 58408. After we will calculate the factors of 58401 and 58408 and find the biggest common factor number .

Step-1: Prime Factorization of 58401

Prime factors of 58401 are 3, 7, 103. Prime factorization of 58401 in exponential form is:

58401 = 3⁴ × 7¹ × 103¹

Step-2: 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-3: Factors of 58401

List of positive integer factors of 58401 that divides 58401 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 103, 189, 309, 567, 721, 927, 2163, 2781, 6489, 8343, 19467

Step-4: Factors of 58408

List of positive integer factors of 58408 that divides 58401 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58401 and 58408. The biggest common factor number is the GCF number.
So the greatest common factor 58401 and 58408 is 7.

Also check out the Least Common Multiple of 58401 and 58408