What is the Greatest Common Factor of 58898 and 58913?

Greatest common factor (GCF) of 58898 and 58913 is 1.

GCF(58898,58913) = 1

We will now calculate the prime factors of 58898 and 58913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58898 and 58913.

How to find the GCF of 58898 and 58913?

We will first find the prime factorization of 58898 and 58913. After we will calculate the factors of 58898 and 58913 and find the biggest common factor number .

Step-1: Prime Factorization of 58898

Prime factors of 58898 are 2, 7, 601. Prime factorization of 58898 in exponential form is:

58898 = 2¹ × 7² × 601¹

Step-2: Prime Factorization of 58913

Prime factors of 58913 are 58913. Prime factorization of 58913 in exponential form is:

58913 = 58913¹

Step-3: Factors of 58898

List of positive integer factors of 58898 that divides 58898 without a remainder.

1, 2, 7, 14, 49, 98, 601, 1202, 4207, 8414, 29449

Step-4: Factors of 58913

List of positive integer factors of 58913 that divides 58898 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58898 and 58913. The biggest common factor number is the GCF number.
So the greatest common factor 58898 and 58913 is 1.

Also check out the Least Common Multiple of 58898 and 58913