What is the Greatest Common Factor of 58835 and 58849?

Greatest common factor (GCF) of 58835 and 58849 is 7.

GCF(58835,58849) = 7

We will now calculate the prime factors of 58835 and 58849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58835 and 58849.

How to find the GCF of 58835 and 58849?

We will first find the prime factorization of 58835 and 58849. After we will calculate the factors of 58835 and 58849 and find the biggest common factor number .

Step-1: Prime Factorization of 58835

Prime factors of 58835 are 5, 7, 41. Prime factorization of 58835 in exponential form is:

58835 = 5¹ × 7¹ × 41²

Step-2: Prime Factorization of 58849

Prime factors of 58849 are 7, 1201. Prime factorization of 58849 in exponential form is:

58849 = 7² × 1201¹

Step-3: Factors of 58835

List of positive integer factors of 58835 that divides 58835 without a remainder.

1, 5, 7, 35, 41, 205, 287, 1435, 1681, 8405, 11767

Step-4: Factors of 58849

List of positive integer factors of 58849 that divides 58835 without a remainder.

1, 7, 49, 1201, 8407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58835 and 58849. The biggest common factor number is the GCF number.
So the greatest common factor 58835 and 58849 is 7.

Also check out the Least Common Multiple of 58835 and 58849