What is the Greatest Common Factor of 58919 and 58933?

Greatest common factor (GCF) of 58919 and 58933 is 7.

GCF(58919,58933) = 7

We will now calculate the prime factors of 58919 and 58933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58919 and 58933.

How to find the GCF of 58919 and 58933?

We will first find the prime factorization of 58919 and 58933. After we will calculate the factors of 58919 and 58933 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 58933

Prime factors of 58933 are 7, 8419. Prime factorization of 58933 in exponential form is:

58933 = 7¹ × 8419¹

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 58933

List of positive integer factors of 58933 that divides 58919 without a remainder.

1, 7, 8419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58919 and 58933. The biggest common factor number is the GCF number.
So the greatest common factor 58919 and 58933 is 7.

Also check out the Least Common Multiple of 58919 and 58933