What is the Greatest Common Factor of 58919 and 58936?

Greatest common factor (GCF) of 58919 and 58936 is 1.

GCF(58919,58936) = 1

We will now calculate the prime factors of 58919 and 58936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58919 and 58936.

How to find the GCF of 58919 and 58936?

We will first find the prime factorization of 58919 and 58936. After we will calculate the factors of 58919 and 58936 and find the biggest common factor number .

Step-1: Prime Factorization of 58919

Prime factors of 58919 are 7, 19, 443. Prime factorization of 58919 in exponential form is:

58919 = 7¹ × 19¹ × 443¹

Step-2: Prime Factorization of 58936

Prime factors of 58936 are 2, 53, 139. Prime factorization of 58936 in exponential form is:

58936 = 2³ × 53¹ × 139¹

Step-3: Factors of 58919

List of positive integer factors of 58919 that divides 58919 without a remainder.

1, 7, 19, 133, 443, 3101, 8417

Step-4: Factors of 58936

List of positive integer factors of 58936 that divides 58919 without a remainder.

1, 2, 4, 8, 53, 106, 139, 212, 278, 424, 556, 1112, 7367, 14734, 29468

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58919 and 58936. The biggest common factor number is the GCF number.
So the greatest common factor 58919 and 58936 is 1.

Also check out the Least Common Multiple of 58919 and 58936